3. A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round your answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi, and make certain to show your work. Hint: you may need to find the volume of the component shapes.

3.A Prop For The Theater Clubs Play Is Constructed As A Cone Topped With A Half-sphere. What Is The Volume

Answers

Answer 1

The volume of the prop is calculated to be 2,712.96 cubic inches.

Step-by-step explanation:

Step 1:

The prop consists of a cone and a half-sphere on top. We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2:

The volume of a cone is determined by multiplying  [tex]\frac{1}{3}[/tex] with π, the square of the radius (r²) and height (h). Here we substitute π as 3.14. The radius is 9 inches and the height is 14 inches.

The volume of the cone :  [tex]V=\pi r^{2} \frac{h}{3}[/tex] = [tex]3.14 \times 9^{2} \times \frac{14}{3}[/tex] = 1,186.92 cubic inches.

Step 3:

The area of a half-sphere is half of a full sphere. The volume of a sphere is given by multiplying  [tex]\frac{4}{3}[/tex] with π and the cube of the radius (r³).

Here the radius is 9 inches. We take π as 3.14.

The volume of a full sphere =  [tex]V=\frac{4}{3} \pi r^{3}[/tex] =  [tex]\frac{4}{3} \times 3.14 \times 9^{3}[/tex] = 3,052.08 cubic inches.

The volume of the half-sphere =  [tex]\frac{3,052.08}{2}[/tex] = 1,526.04 cubic inches.

Step 4:

The total volume = The volume of the cone + The volume of the half sphere,

The total volume = 1,186.92 + 1,526.04 = 2,712.96 cubic inches.


Related Questions

If you wouldn’t mind helping me I would greatly appreciate it. I’ve been having trouble on problems like this, and I have no one around to help, so I would be extremely grateful if you took the time out of your day to help me.

Andrea makes and sells anklets. She will discount the regular selling price of the anklets 60% this weekend. Which value is equivalent to this percent?
A. 3/5
B. 3/10
C. 6/8
D. 6/100

Answers

A.3/5 jehevdhe egecsgcsg feud

(-2h3n2)(-5h2n2)
How

Answers

Answer: 9h x 8n^2

we rearrange this underneath the question (-5h-2h) (2nx3n)(2+2) or if 2^2 see explanation. It must therefore be 7h6n4

Step-by-step explanation:

if its ^2 )(power2) then the second reasonable answer is (7h-2h)(2n^2 x 2n^2)=9h x 4n^2 x4n^2 =9h 8n^2 or 17hn^2 but i leave as 9h 8n^2

You can expand only if multiplying 9hx4 for example but not combine the letters. The questions that ask you to mix are much different to this. but if you want to add them 9h+8n^2 =17hn^2

The remainder of 3x^3 + 4x+ 5 / x + 3 is

Answers

Answer:

Step-by-step explanation:

is -7

two different fractions where the LCD (lowest common denominator) is 20.

Answers

Answer:

1/4 2/5 4x5=20

Step-by-step explanation:

What are the x-intercept and vertex of this quadratic function?
g(x)=-5(x – 3)^2

Answers

There is only one X-Intercept at (3,0)
and the vertex happens to be at the same Coordinate (3,0)

What is 183 for 4 as a unite rate

Answers

Answer:

45.75

Step-by-step explanation:

183/4=45.75.

Answer:

=45.75

Step-by-step explanation:

This is a fraction equal to

183 ÷ 4

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 4

182

÷ 4

4

÷ 4

=

45.75/1  

=

45.75  

= 45.75  

Write the equation that describes the sequence 20, 28, 36, 44,...

Answers

Equation is a(n) = 12 + 8n

Step-by-step explanation:

Step 1: This is an Arithmetic Sequence with first term (a) = 20 and common difference (n) = 28 - 20 = 8. Find the equation using the expression for nth term.

a(n) = a + (n -1)d

a(n) = 20 + (n - 1)8

      = 20 + 8n - 8

      = 12 + 8n

∴ Equation is a(n) = 12 + 8n

Answer:

12+8n

Step-by-step explanation:

This is sequence and series

Using the formula,a+(n-1)d

a means the first number

n means the number of progression

d means the difference

a=20

n=?

d=8

Apply the formula

=20+(n-1)8

=20+(8n-8)

=20+8n-8

=20-8+8n

=12+8n

The arithmetic equation is 12+8n

a coast redwood tree is about 10 times as tall as an apple tree one of the tallest coast redwood even measured was 254 feet fall how tall would you expect an apple tree to be ​

Answers

Answer:

25.4 feet tall

Step-by-step explanation:

254 divided by 10 equals 25.4

The height of the apple tree that you expect an apple tree to be ​25.4 feet.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A coast redwood tree is about 10 times as tall as an apple tree.

Let 'x' and 'y' be the height of redwood and apple trees. Then the equation is given as,

y = x / 10

One of the tallest coast redwoods even measured 254 feet tall. Then we have

y = 254 / 10

y = 25.4 feet

The height of the apple tree that you expect an apple tree to be ​25.4 feet.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ5

Which system of equations below has exactly one solution? y = –8x – 6 and y = –8x + 6 y = –8x – 6 and One-halfy = –4x – 3 y = –8x – 6 and y = 8x – 6 y = –8x – 6 and –y = 8x + 6

Answers

Answer:

y = –8x – 6 and y = 8x – 6

Step-by-step explanation:

-8x - 6 = 8x - 6

16x = 0

x = 0

y = 8(0) - 6 = -6

The only solution is (0,-6)

Answer:

C  is  the answer

Step-by-step explanation:

^^^!!! 25 pOinTs (seriously help)

Answers

Answer:

A)   Θ = 2A/r²

Step-by-step explanation:

A = Θr²/2

(Multiple both sides by 2)

2A = Θr²

(Divide both sides by r²)

2A/r² = Θ

Solve for n
5n - 3 = 17

Answers

Answer: n=4

Step-by-step explanation:

1) add 3 to both sides: 5n=20

2) divide by five on both sides: 5n/5 and 20/5

3) answer n=4

Answer:

17+3=20

20/5 = 4

5(n)-3 + 17

5(4) - 3 = 17

20-3 = 17

n = 4

Step-by-step explanation:

A utility pole is supported by two wires, one on each side, going in the opposite direction. The two wires form a 75-degree angle at the utility pole. if the wires are 12 meters and 16 meters long and secured to the ground, find the distance between the wires on the ground.


(Cosines problem)

Answers

Answer:

The required distance is 17.34 meters.

Step-by-step explanation:

The lengths of the two wires are 12 meters and 16 meters. and the angle between the wires is 75°.

Now, we have to calculate the distance between the wires on the ground.

Therefore, we have to calculate the length of the side which is the opposite side of angle 75° of the triangle formed by the wires and the ground.

Applying the formula of properties of the triangle, if the length required is x, then

[tex]\cos 75^{\circ} = \frac{12^{2} + 16^{2} - x^{2}}{2 \times 12 \times 16}[/tex]

⇒ 99.38 = 144 + 256 - x²

x = 17.34 meters. (Answer)

What is the volume of the rectangular prism?

Answers

Answer:

144 ft cubed

Step-by-step explanation:

Multiply 576 by 1/4.

576 x 1/4 = 144

Answer:

[tex]9ft^{3} [/tex]

Step-by-step explanation:

If each cube has an edge length of 1/4;

[tex] \frac{1}{4} \times \frac{1}{4} \times \frac{1}{4} = \frac{1}{64} [/tex]

Each cube has a volume of 1/64 feet cubed. Now, multiply by 576.

[tex] \frac{1}{64} \times \frac{576}{1} = \frac{576}{64} [/tex]

[tex]576 \div 64 = 9[/tex]

The rectangular prism has a volume of 9 feet cubed.

Algebra 1, Section 7.09

Answers

Answer:

b. 4

Step-by-step explanation:

Given f(x) = 4x - 4 and g(x) = x - 1, we can find (f/g)(x) by dividing f(x) by g(x):

(f/g)(x) = (4x - 4)/(x - 1)

Now, substituting x = -4 into the expression

(f/g)(-4) = (4*(-4) - 4)/((-4) - 1) = (-16 - 4)/(-5) = -20/-5 = 4

Therefore, the correct answer is b. 4.

Given the function g(x) = x - 1, let's solve (f/g)(-4) using the function f(x) = 4x - 4.

To find (f/g)(-4), we need to evaluate the expression (f(x)/g(x)) at x = -4.

First, let's find the value of f(x)/g(x) for any x:

(f/g)(x) = f(x)/g(x) = (4x - 4)/(x - 1)

Now, substituting x = -4 into the expression:

(f/g)(-4) = (4(-4) - 4)/((-4) - 1) = (-16 - 4)/(-5) = -20/-5 = 4

Therefore, the correct answer is b. 4.

what is the volume of this sphere? use 3.14 for pi and round to the nearest hundredth when necessary.

diameter is 12 cm.​

Answers

The volume of the sphere is 900 cm³

Step-by-step explanation:

Step 1: Given the diameter of the ball = 12 cm. Find radius.

Radius = diameter/2 = 12/2 = 6cm

Use the formula for volume of a sphere to find the volume.

Volume of the ball = 4/3 πr³

                              = 4/3 × 3.14 × (6)³

                              = 904.32 cm³ ≈ 900 cm³ (nearest hundredth)

If x varies inversely as y, and x = 7 when
y=3, find y when x = 9.

Answers

Step-by-step explanation:

x=k/y------(1)

k=xy

k= 7×3

k=21

from equation 1

x=k/y

y=k/x

y=21/9

y = 2.33

Answer:

3.85714285714

Step-by-step explanation:

7 = 3

9 = y

9*3=27

27/7 = 3.85714285714

how to find area of polygon please explain

Answers

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothegm. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothegm = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.

A circle has a radius of 13 inches.
Which equation can be used to find the diameter of this circle?
od=21(13)
ed= }(13)
od=2(13)
d=13²
Please help me!

Answers

Answer:

od=2(13)

Step-by-step explanation:

Diameter of a circle is two times of its radius.

Answer: It wouldn’t be 13 to the second power you have to divide 13 by 2 then do that by the second power 13/2=6.5 than 6.5 to the second power so it would be 13x3.14=40.82

Step-by-step explanation:

What must be subtracted from a3b+6a2b2 -7ab+4 to get -7a2b2+2a3b+6ab-1?

Answers

[tex]-a^{3} b+13 a^{2} b^{2}-13 a b+5[/tex]

Step-by-step explanation:

Let x be the expression, we have to find must be subtracted from the given expression, to get the answer.

Now we have to combine the like terms, before that we have to move x from LHS to the RHS , so that we will get the required expression.

[tex]a^{2} b+6 a^{2} b^{2}-7 a b+4-x=-7 a^{2} b^{2}+2 a^{2} b+6 a b-1[/tex]

[tex]a^{3} b+6 a^{2} b^{2}-7 a b+4+7 a^{2} b^{2}-2 a^{3} b-6 a b+1=x[/tex]

Now arranging the like terms as,

[tex]\begin{array}{l}a^{3} b-2 a^{3} b+6 a^{2} b^{2}+7 a^{2} b^{2}-7 a b-6 a b+4+1=x \\-a^{3} b+13 a^{2} b^{2}-13 a b+5=x\end{array}[/tex]

So the expression is "[tex]-a^{3} b+13 a^{2} b^{2}-13 a b+5[/tex]"

Determine the common ratio and find the next three terms of the geometric sequence.
i, -1, -i, ...
a.
i; 1, i, -1
c.
-i; -1,- i, 1
b.
i; -1, -i, 1
d.
-i; 1, i, -1


Please select the best answer from the choices provided

A
B
C
D

Answers

B because the negative one is positive by the i which means there the reason I don’t

Answer:A

Step-by-step explanation:

PLS HURRY IN A TEST!!!
Based on the graph, which of the following statements are true? Select all that apply.
A. When Jonah babysits one hour, he earns $7.50.
B. Jonah earns $20 to babysit 5 hours.
C. The equation e = 4h can be used to describe this situation.
D. The number of hours Jonah works depends on how much he earns.

Answers

B. Jonah earns $20 to babysit 5 hours.

D. The number of hours Jonah works depends on how much he earns.

Hope this helps you!

plz give me brainliest :(

Solve the inequality for x 5(x-10) < 115

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x<33

Interval Notation:

(−∞,33)

what is 10 times as much as 400

Answers

Answer:

Your answer would be 4000.

The only step needed:

Multiply 400 by 10.

400 ---> 400×10 ---> 4000

Hope this helps, :)

Which of the following coordinate points is the point of intersection of these two lines? y - 6x = -4 y - 2x = 8 Question 4 options: (−1/2, 7) (12/8,11) (9/6,5) (3, 14)

Answers

Option D: [tex](3,14)[/tex] is the point of intersection of the two lines.

Explanation:

The two equations are [tex]y-6 x=-4[/tex] and [tex]y-2 x=8[/tex]

We need to find the point of intersection of the two lines.

Thus, let us solve the equation by substitution method.

From the equation [tex]y-6 x=-4[/tex], we shall determine the value of y, by adding both sides of the equation by 6x.

Hence, we have, [tex]y=6x-4[/tex]

Now, substituting [tex]y=6x-4[/tex] in the equation [tex]y-2 x=8[/tex] , we get,

[tex]6x-4-2 x=8[/tex]

       [tex]4x-4=8[/tex]

             [tex]4x=12[/tex]

               [tex]x=3[/tex]

Substituting [tex]x=3[/tex] in the equation [tex]y-6 x=-4[/tex], we get,

[tex]y-2 (3)=8[/tex]

   [tex]y-6=8[/tex]

         [tex]y=14[/tex]

Thus, the point of intersection of the two lines is [tex](3,14)[/tex]

Therefore, Option D is the correct answer.

If Bart has 20$ and Andy took $19.65 how much does Bart have

Answers

Answer:

well bart has 20.00

andy took      19.65

Step-by-step explanation:

subtract [tex]20.00\\-19.65\\\\_______\\0.35[/tex]

your answer should be 0.35

Bart had $20, and Andy took $19.65. Bart will have $0.35 remaining.

Start with Bart's initial amount: $20

Subtract the amount Andy took:

$20 - $19.65 = $0.35

Therefore, Bart will have $0.35 remaining.

Katie has 6500 in her savings account. If it earns 6% interest every month how much savings does she have in her account in over half a year

Answers

Step-by-step explanation:

First, you recognize the algorithm for the equation: A=P(1+r)^n. This is the algorithm for interest. P is the amount of initial money (in this case, 6500), r is the interest rate (6%, or 0.06), and n is the number of times it is being compounded. Since half a year is given to me, 6 months is what I will be using, or just 6.

Next, plug in the numbers. The equation is now: A=6500(1+0.06)^6.

Now time to solve. First add what's in the parenthesis, and put it to the power of 6, for 6 months. Then multiply that amount to the initial dollar amount; 6500. This will leave you with 9,220.37.

simplify the numerical expression 5-2+12÷4​

Answers

it is 3r.75 it totally right

Answer:

6

Step-by-step explanation:

Just remember the order of operations (PEMDAS)

5 - 2 + 12 / 4, first divide

5 - 2 + 3, then proceed from left to right

3 + 3 = 6

Activity

In the earlier Lesson Activity, you found the sizes of mesoplankton and jellyfish. In this activity, you'll determine the most appropriate units for.

measuring the sizes of mesoplankton and jellyfish.

Part A

Earlier, you found the size of a mesoplankton to be 2 x 102 meter. Do you think that meters are the most appropriate unit to represent the size

of a mesoplankton? If not, what do you think would be the most appropriate unit? Write the size of a mesoplankton in the most appropriate unit.

Answers

Answer:

No.

The most appropriate unit to measure the mesoplankton is centimeter.

The size is 2 cm.

Step-by-step explanation:

Earlier, you found the size of a mesoplankton to be [tex]2 \times 10^{-2}[/tex] meter.

I think that meters are not the most appropriate unit to represent the size of a mesoplankton.

The most appropriate unit to measure the mesoplankton is centimeter.

Now, 1 meter is equivalent to 100 centimeters.

So, the size of the mesoplankton in centimeter units will be [tex]2 \times 10^{-2} \times 100 = 2[/tex] cm. (Answer)

Final answer:

Meters are not the most appropriate unit for the size of a mesoplankton; millimeters are more suitable considering the small size of these organisms. The size 2 x 10² meters seems to be a typo and should likely be a much smaller value, such as 2 millimeters.

Explanation:

No, meters are not the most appropriate unit to represent the size of a mesoplankton. Considering that a mesoplankton is quite small, much smaller than objects like a piece of paper or a human's wingspan, using meters would not provide a practical or convenient measurement scale.

Since mesoplankton are small, it is important to think about units that are suitable for measuring very small objects. Given the metric units millimeters and centimeters are the next best alternatives. In this case, centimeters, being smaller than meters are a better match for the size of mesoplankton, but even centimeters might be too large.

Therefore, the most appropriate unit of measurement for the size of a mesoplankton is likely to be in millimeters. Therefore, 2 x 10^2 meters (200 meters) appears to be a typo, as mesoplankton would typically measure less than 2 centimeters. Assuming the intended measurement was supposed to be much smaller, converting to millimeters would be the best approach. An actual mesoplankton might measure around 2 millimeters, though this is just an example since the original measurement given seems incorrect.

In factored form, y = a (x - p) (x – q) we are able to see what important
point(s)?

Answers

[tex]y= a(x-p)(x-q)[/tex]

Answer:

       The x-intercepts

[tex]y[/tex] can only be [tex]0[/tex], if either [tex]x=p[/tex], or [tex]x=q[/tex]...

so, the parabola must have the points [tex]\left(p,0\right)[/tex] and [tex]\left(q,0\right)[/tex]

The circumference of a circle is 8π cm. What is the circle's area? 32 π cm 2 16 π cm 2 8 π cm 2 64 π cm 2

Answers

Answer:

16[tex]\pi[/tex]

Step-by-step explanation:

we know that the formula for finding area of circle is A=[tex]\pi[/tex]r^2. and circumference of circle can be calculated by c=2[tex]\pi[/tex]r.

first we need find radius from circumference formula and put in area formula to get the desired result.

for radius, r=c/2[tex]\pi[/tex] =8[tex]\pi[/tex]/2[tex]\pi[/tex] we get 4. now put in area formula as shown above.

we get , A=[tex]\pi[/tex]*(4)^2 =[tex]\pi[/tex]*4*4 =16[tex]\pi[/tex]

Answer:

The answer is B 16

Step-by-step

Other Questions
Brenda, the district manager for Beautiful Florist, told the store managers in her district that she needs the sales goals for next year. A new manager, Paula, said, "I am going to sell over $100,000 in flowers next year." Brenda later told Paula that "I need to know specifically, in each category, how much you plan on selling." Brenda's request for a specific answer is an example of a:________. Brutus is facing a dilemma. He's caught between what's best for his country and his friendship with Caesar. Playing the role of an advice columnist, consider his best interests and offer him some guidance on helping reach a decision Justin and TJ are servers at a local restaurant. The table below shows the tips they earned.Which student has a higher median tip for the week and by how much? what is the difference between the points (-3,4) and (5,4) All food chains begin with a _____. producer consumer decomposer parasite Why was Stalin feared in the Soviet Union? A cube has an edge length of 8 meters. What is its volume, in cubic meters? Based on your readings and any other research, why do you think that women are especially affected by the "glass ceiling" at work? What can HR do to help? Which of the following statements about Java Class Libraries is false? Question 18 options: A) An advantage of using Java class libraries is saving the effort of designing, developing and testing new classes. B) Java class libraries are also known as Java APIs (Application Programming Interfaces). C) Java class libraries consist of classes that consist of methods that perform tasks. D) Java class libraries are not portable the program is running, it can use the class to create as manyobjects of a specific type as needed. Each object that is created from aclass is called a(n) __ of the class Before polling the students in Scion School of Business, a researcher divides all the current students into groups based on their class standing, such as freshman, sophomores, and so on. Then, she randomly draws a sample of 50 students from each of these groups to create a representative sample of the entire student body in the school. Which of the following sampling methods is the researcher practicing? 1. stratified random sampling 2. simple random sampling 3. cluster sampling 4. systematic random sampling 5. snowball sampling 90 in terms of pi please help Even though he is not a manager, Mr. Brate is the one to see in the company when there is something you need. He will get it quickly, and can avoid the red tape that often delays action. Mr. Brate is also the one to see if you need advice or help. Mr. Brate is an important member of the firm's _________. Of the reactions below, only ________ is not spontaneous. Mg (s) 2HCl (aq) MgCl2 (aq) H2(g) 2Ag (s) 2HNO3 (aq) 2AgNO3 (aq) H2 (g) 2Ni (s) H2SO4 (aq) Ni2SO4 (aq) H2 (g) 2Al (s) 6HBr (aq) 2AlBr3 (aq) 3H2 (g) Zn (s) 2HI (aq) ZnI2(aq) H2 (g) Patrick spins both spinners below. What is the probability the hw spins green on both spinners? A pound of chocolate cost 8 dollars. Ivanna buys p pounds. Write an equation to represent the total cost c that Ivanna pays. The first exercise during Strength Endurance training involves a traditional strength exercise, such as a bench press, that is performed in a stable environment in order to elicit which of the following?A. Fixator strength.B. Antagonist muscle strength.C. Prime mover strength.D. Neutralizer strength. What evidence can you cite for the microscopic crystal nature of certain solids? For the macroscopic crystal nature? Erwin had 2 5/12 gallons of lemonade. He spilled 11/12 gallon of lemonade. How much lemonade dose he have left? Write in simplest form What was the relationship during the holocaust between prejudice against jews and oppression (cruel treatment) of them?