How do you find a volume of a cone?

Answers

Answer 1

Answer:

  V = (1/3)πr²h

Step-by-step explanation:

The volume of a cone is 1/3 the volume of a cylinder with the same radius and height.

  Cylinder Volume = πr²h

  Cone Volume = (1/3)πr²h

where r is the radius (of the base), and h is the height perpendicular to the circular base.

_____

Comment on area and volume in general

You will note the presence of the factor πr² in these formulas. This is the area of the circular base of the object. That is, the volume is the product of the area of the base and the height. In general terms, ...

  V = Bh . . . . . for an object with congruent parallel "bases"

  V = (1/3)Bh . . . . . for a pointed object with base area B.

This is the case for any cylinder or prism, even if the parallel bases are not aligned with each other. (That is, it works for oblique prisms, too.)

Note that the cone, a pointed version of a cylinder, has 1/3 the volume. This is true also of any pointed objects in which the horizontal dimensions are proportional to the vertical dimensions*. (That is, this formula (1/3Bh), works for any right- or oblique pyramid-like object.)

__

* in this discussion, we have assumed the base is in a horizontal plane, and the height is measured vertically from that plane. Of course, any orientation is possible.


Related Questions

Three plants grew 3/4 feet. How much did they grow in all

Answers

Answer:

2 and 1/4

Step-by-step explanation:

Which equation is equivalent to the equation 9x-10 =35?
a. 9x = 25 c. 9x = -25
b. 9x = 45 d. 9x = -45

Answers

B. Because x = 5 and 5x9 equals 45
B because 35+10= 45, so 9x=45

combine like terms -2+3x+8+(-11x)

Answers

Answer:

6-8x

Step-by-step explanation:

-2+3x+8+(-11x)

-2+3x+8-11x

-2+8+3x-11x

6+3x-11x

6-8x

Simplify the expression (9 + 21)(9 – 21).

Answers

Answer:

-360

Step-by-step explanation:

1. Add 9 + 21 and subtract 9 - 21

2. That would be (30)(-12)

3. Then multiply 30 x -12

4. You get -360

Solve for X: 5 - (x+5) > -2(x+4)

Answers

Answer:

value of x is greater than -8.

Step-by-step explanation:

5-(x+5)>-2(x+4)

we need to find value of x.

consider

5-(x+5)>-2(x+4)

using distributive property, we get

5-x-5>-2x-2×4

5-x-5>-2x-8

nowsimplify both side

-x+2x>-8

transfer -2x form RHS To LHS

-x+2x-8

x>-8

therefor, value of x is greater than-8.

IM KINDA SLOWWWWW sorry

Answers

This may not be useful and I’m not exactly sure what you’re trying to ask but I’ll do my best to explain.

For the square root of 48, you can simplify it by finding two numbers; one of them having a perfect square and whatever number you choose for the second one, you find numbers there with one number having a perfect square. So for example, I would do 4*12 since it’s the easiest one I know. 4 has a square root of 2. However, with twelve, you can find two numbers that multiply to it with one of them with a perfect square, which would be 4*3,(again 4 having a perfect square root). So you would multiply 2 from the first 4(when you square rooted it), and the second 2( from 4*3). You should get 4 √ 3. The little sign means square root by the way. And if u wanna make sure they are equivalent, you can find the square root of 48 and find the product of 4 times the square root of 3. They should give the same answer.

You cannot simplify the square root of 15 as there are no two numbers with one of them having a perfect square.

You can simplify the square root of 100, that gives you 10.

This may not have helped, but I tired to explain it the best I could. Let me know if u want another explanation :)

Write 5.5.5.5. in
exponential notation.

Answers

Answer:

5.5.5.5

= 5^4

=625

Explanation:

5 to the power of 4 is equal to 625

Final answer:

Redefined format 5.5.5.5 as 5 * 5 * 5 * 5, converted to exponential notation as 5^4. The base is 5, exponent is 4, showing multiplication of the base 4 times.

Explanation:

The number 5.5.5.5 that you've provided seems to have a format error considering the extra dots you've used. If by any chance you meant 5 * 5 * 5 * 5, it in exponential notation is 54. '5' is the base and '4' is the exponent, the latter representing the number of times the base is multiplied by itself. In this case 5 is multiplied by itself 4 times.

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Which expression represents the number 13,809 written in expanded form?
A 13+80+9
B 13,000+800+90
C9+1,300+80
D 3,000+10,000+9+800

Answers

The answer is D and not b because it’s not 90 it’s 09

Final answer:

The number 13,809 in expanded form is expressed as 10,000 + 3,000 + 800 + 9, which corresponds to option 'D'.

Explanation:

To write the number 13,809 in expanded form, we break the number down into its place values and then write it as a sum of each digit multiplied by its place value. For the number 13,809 this would be:

(1 × 10,000) for the ten-thousands place,

(3 × 1,000) for the thousands place,

(8 × 100) for the hundreds place,

(0 × 10) for the tens place (which is actually 0 and usually omitted in expanded form), and

(9 × 1) for the ones place.

The expression that represents 13,809 in expanded form is therefore 10,000 + 3,000 + 800 + 9, which corresponds to option 'D'.

Help ASAP..........
John and Mary went to the airport last Sunday. John took a bus first, and it took him 30 min to reach the train station. Then he got on a train and it took him 55 min to reach the airport. Mary left home 25 min later than John. She took a taxi and she reached the airport 20 min earlier than John. How long did it take Mary to get to the airport

Answer with full steps

Answers

Answer:

Mary reached the airport in 40 minutes

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Time it takes John to go from home to the train station = 30 minutes

Time it takes John to go from the train station to the airport = 55 minutes

Mary left 25 minutes later and reached the airport 20 minutes earlier than John

2. How long did it take Mary to get to the airport?

Total time it takes John to reach the airport = Time it takes John to go from home to the train station + Time it takes John to go from the train station to the airport

Total time it takes John to reach the airport = 30 + 55

Total time it takes John to reach the airport = 85 minutes

Now, let's calculate the time it takes Mary to reach the airport, this way:

Total time it takes John to reach the airport - minutes Mary left later - minutes Mary got to the airport earlier than John

85 - 25 - 20 = 85 - 45 = 40

Mary reached the airport in 40 minutes

Answer: Mary got to the airport in 40 Minutes.

20 PPOINTS SOMEONE PLEASE HELP ME ON #11 pleaseeee

Answers

Answer:

Set #9 are congruent triangles.

Step-by-step explanation:

They are the same shape and size. If I were to flip them over, they would mach up.

Answer:

cap its only 10

Step-by-step explanation:

2 adjacent angles of a parallelogram are (2x+45°) and (4x-15°) . What is the value of x?



Answers

Value of x is 25°

Step-by-step explanation:

Step 1: Adjacent angles of a parallelogram are supplementary. Therefore their sum is equal to 180°

⇒ (2x + 45°) + (4x - 15°) = 180°

⇒ 6x + 30° = 180°

⇒ 6x = 150°

x = 25°

Step-by-step explanation:

Adjacent angles of a parallelogram are Supplementary.

[tex] \therefore \: (2x + 45 \degree) + (4x - 15 \degree) = 180 \degree \\ \\ \therefore \: 6x + 30 \degree = 180 \degree \\ \\ \therefore \: 6x = 180 \degree - 30 \degree \\ \\ \therefore \: 6x = 150 \degree \\ \\ \therefore \: x = \frac{150 \degree }{6} \\ \\ \huge \red{ \boxed{\therefore \: x = 25 \degree }}[/tex]

What is the equation of the line that is parallel to the line x = -2 and passes through the point (-5,4)?
x=-5
x=4
y = 5
y=4​

Answers

Answer:

Step-by-step explanation:

x=-5

Answer:

It would be A) -5

Step-by-step explanation:

So it could be any number if it’s the x value. So it can’t be C or D

if it passes through (-5,4), then the x would have to be -5

therefore it is A

browns farm market charges $2.50 per pound for locally grown tomatoes

Answers

Where is the rest of the question

100 POINTS
Please answer the question attached

Answers

The answer to this is I believe OMN and KGH. KGH doesn't say whether the top angle is 22 degrees or not and both OMN and KGH have 79 degree angles at the bottom, so I believe it's OMN KGH.

Answer:

EVERYSINGLE ANGLE HAS 79 DEGREES

Step-by-step explanation:

write a number with two decimal places that are bigger than 4 1/5 but smaller than 4.25

Answers

Answer:4.21,4.22,4.23, 4.24

Step-by-step explanation:

4 1/5 is 4.2 as a decimal and the numbers between 4.2 and 4.5 as numbers with 2 places past the decimal place are the ones above.

The number with two decimal places that are bigger than 4(1/5) and smaller than 4.25 is 4.22.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

4(1/5)

= 21/5

= 4.2

Now,

Two decimal numbers between 4.2 and 4.25.

4.21, 4.22, 4.23, and 4,24.

Thus,

The number is 4.22.

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write the ratio 2/7 to 4 as a fraction in simplest form

Answers

Answer:

1/14

Step-by-step explanation:

2/7 to 4 means 2/7 to 4/1

This gives

2/7

4/1

rearranging, we have;

2/7 * 1/4

2 * 1

7 * 4

= 2/28

to reduce to the simplest form, we'll divide the numerator and denominator by 2 ( the HCF of both)

1/14

Final answer:

To write the ratio 2/7 to 4 as a fraction in simplest form, multiply both the numerator and denominator of 2/7 by 4. Simplify the resulting fraction by dividing both the numerator and denominator by their common factor, which is 4. The simplest form of the ratio is 2/7.

Explanation:

To write the ratio 2/7 to 4 as a fraction in simplest form, we need to multiply both the numerator and denominator of 2/7 by 4. This gives us (2 * 4) / (7 * 4) = 8/28. Since both 8 and 28 have a common factor of 4, we can simplify the fraction further.

Dividing both the numerator and denominator by 4, we get 8/28 = 2/7.

Therefore, the ratio 2/7 to 4 as a fraction in simplest form is 2/7.

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Louise completed the work shown below.

(5x3 + 3)2 = (5x3)2 + (3)2 = 25x6 + 9
Determine if Louise’s answer is correct. Explain.

Answers

Louise’s answer is not correct

Step-by-step explanation:

Let us revise how to solve (ax + b)²

Square the 1st term ⇒ (ax)²Multiply the 1st term, the 2nd term and 2 ⇒ 2(ax)(b)Square the 2nd term ⇒ (b)²(ax + b)² = (ax)² + 2(ax)(b) + (b)²

The answer of square a binomial contains three terms: (1st)² + 2(1st)(2nd) + (2nd)²

∵ The bracket is (5x³ + 3)²

- Square the first term

∴ The first term of the answer = (5x³)² = (5)²(x³)² = [tex]25x^{6}[/tex]

- Multiply the 1st , the 2nd term and 2

∴ The second term of the answer = 2(5x³)(3) = 2(5)(3)x³ = 30x³

- Square the 2nd term

∴ The third term of the answer = (3)² = 9

∴ (5x³ + 3)² =  [tex]25x^{6}[/tex] + 30x³ + 9

∵ Louise’s answer is (5x³)² + (3)² =  [tex]25x^{6}[/tex] + 9

- By comparing the his answer with the answer above, he did

   not find the middle term

Louise’s answer is not correct

Learn more:

You can learn more about expand a binomial in brainly.com/question/2334388

#LearnwithBrainly

Answer:

Sample Response: Louise’s answer is not correct. She is missing the term 30x3. When squaring a binomial, it is best to write the product of the binomial times itself. Then you can use the distributive property to multiply each term in the first binomial by each term in the second binomial. Louise also could have used the formula for a perfect square trinomial, which is found by squaring a binomial.

Step-by-step explanation:

Sample Response ^^^

Wal-Mart sells a case of 24 cans of Diet Coke for $6.88 Kroger sells a 12 pack of Diet Coke for $3.99 which is Best Buy?

Answers

Final answer:

The cost per can of Diet Coke is cheaper at Wal-Mart than Kroger. Wal-Mart sells a can for approximately $0.287, while Kroger sells a can for approximately $0.3325. Therefore, Wal-Mart is the best buy.

Explanation:

To determine the best buy between Wal-Mart and Kroger, we need to calculate the price per can of Diet Coke for each store.

For Wal-Mart, the case contains 24 cans for $6.88. So, we divide the total cost by the number of cans: $6.88 ÷ 24 = $0.287 per can

For Kroger, the pack contains 12 cans for $3.99. So, again we divide the total cost by the number of cans: $3.99 ÷ 12 = $0.3325 per can

Comparing the two prices, $0.287 per can from Wal-Mart is cheaper than $0.3325 per can from Kroger. Therefore, buying the case of Diet Coke from Wal-Mart is the best buy.

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Wal-Mart offers a better buy for Diet Coke compared to Kroger, with a price of $0.287 per can versus Kroger's $0.3325 per can.

First, calculate the price per can at Wal-Mart.Wal-Mart sells a case of 24 cans for $6.88.Price per can = $6.88 / 24 cans = $0.287 per can.Next, calculate the price per can at Kroger.Kroger sells a 12 pack for $3.99.Price per can = $3.99 / 12 cans = $0.3325 per can.Finally, compare the prices:Wal-Mart: $0.287 per canKroger: $0.3325 per can

Wal-Mart offers the better buy since the price per can of Diet Coke is cheaper at Wal-Mart ($0.287) compared to Kroger ($0.3325).

Find x, y, and z. For number 24

Answers

x = 32, y = 11.31, z = 33.94

Step-by-step explanation:

Step 1: Let the triangle be ΔABC with B as the right angle. Let the hypotenuse be intersected by the altitude drawn from B at D. So there are 3 triangles, ΔABC, ΔADB and ΔBDC.

Step 2: To find x, y and z, use Pythagoras theorem where square of hypotenuse is equal to sum of squares of the other two sides of the right triangle.

Step 3: Make equations based on the theorem for all 3 triangles.

In ΔABC, (4+x)² = 12² + z²

⇒ 16 + 8x + x² = 144 + z²

⇒ x² + 8x - z² = 128 --------- (1)

In ΔADB, 12² = 4² + y²

⇒ 144 = 16 + y²

⇒ y² = 128 ------- (2)

In ΔBDC, z² = x² + y²

⇒ z² = 128 + x² ------ (3)

Substituting (3) in (1) ⇒ x² + 8x - (128 + x²) = 128

⇒ x² + 8x - 128 - x² = 128

⇒ 8x = 256

x = 32

From (3), z² = 128 + 32² = 128 + 1024 = 1152

z = 33.94

From (2), y² = 128

⇒ y = 11.31

Gabbys age is two times mikhails age.the sum of their ages is 75. What is mikhails age

Answers

Answer:

Mikhail's age is 25 years old

Step-by-step explanation:

Let's make an equation: Say Mikhail is x, so Gabby would be 2*x=2x

If the sum of their ages equals 75, then x+2x=75, and x=2x=3x, so 3x=75.

75/3=25

Final answer:

Gabby's age is twice Mikhail's age, and the sum of their ages is 75. By setting up and solving a system of equations, we can determine that Mikhail's age is 25.

Explanation:

To solve this problem, we can set up a system of equations using the information given. Let's say Gabby's age is represented by 'G' and Mikhail's age is represented by 'M'. We know that G = 2M and the sum of their ages is 75, so we can write the equation G + M = 75. Now we have a system of equations:

G = 2M and G + M = 75.

To solve this system, we can substitute the value of G from the first equation into the second equation: 2M + M = 75. Combine like terms: 3M = 75. Divide both sides by 3: M = 25. So Mikhail's age is 25 years old.

Walter struggles to write legibly and has a difficult time putting his thoughts on paper. Which learning disability does he have?

Answers

Disgraphia, search it up

Dysgraphia learning disability . Dysgraphia is a neurological disease in which a person struggles to express their ideas in writing form appropriate to their age and mental capacity .

What is  meant by dysgraphia?

Children who have dysgraphia typically have confusing, uneven handwriting that varies in slant, form, upper- and lower-case letters, as well as cursive and print styles. They also have a tendency to copy or write things slowly.

Dysgraphia is a neurological disease in which a person struggles to express their ideas in writing form appropriate to their age and mental capacity even after receiving proper instruction and schooling. Various signs of dysgraphia might appear at various ages. It is regarded as a learning disability.

The disorder's origin is uncertain, however in adulthood, parietal lobe injury is frequently a contributing factor. Treatment for motor abnormalities to help control writing movements may be part of dysgraphia treatment, which varies. Other therapies could deal with memory loss or other neurological issues.

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is 2/2 and 3/2 perpendicular

Answers

Answer:

No

Step-by-step explanation:

in order for a slope to be perpendicularit needs to me the opposite recipricol

so to be perpendicular to 3/2 it would be -2/3

What is the area of the shaded region?​

Answers

Answer:

[tex]\large \boxed{\text{21.86 ft}^{2}}[/tex]

Step-by-step explanation:

Area of shaded region = area of square - area of semicircle

1. Area of square

A = s² = (6 ft)² = 36 ft²

2. Area of semicircle

Area of circle = πr²

Area of semicircle = ½πr²

r = 3 ft, so

A = ½π(3 ft)² = ⁹/₂π ft³

3. Area of shaded region

A = area of square - area of semicircle

[tex]\begin{array}{rcl}A & = & \mathbf{\left(36 - \dfrac{9}{2} \pi \right )} \textbf{ ft}^{\mathbf{2}}\\\\ &\approx & \left (36 - 14.1372\right)\text{ ft}^{2}\\ & \approx & \mathbf{21.86}\textbf{ ft}^{\mathbf{2}} \\\end{array}\\\text{The area of the shaded figure is approximately $\large \boxed{\textbf{21.86 ft}^{\mathbf{2}}}$}[/tex]

Help!!!
What is the equation of of the line that represents your initial climb?

Answers

Answer:

y = 3x

Step-by-step explanation:

The exact equation for the climb would be y = (x-3)^2 + 9, however, a rough line that represents the climb is y = 3x.

Find the slope between (0, 0) and (3, 9) and we get m = 3. Plug it into y-int form and you get the line.

Answer:

y = 3x

I did this test last week and its correct.

Step-by-step explanation:

A business owner receives a 5000 loan with 13% interest, charged at the end of each year​

Answers

Answer:

The answer is 5,650

Step-by-step explanation:

The loan is 5,000 and the interest is 13%

First you have to get the percent to a decimal and then multiply it by the loan which in this case is 5,000

13/100 = 0.13

0.13 x 5000 = 5650

hope you can help me!!

Write the inequality represented by the graph using the variable x.

Answers

Answer:

[tex]x < 4[/tex]

Step-by-step explanation:

When the circle is open that means it is not equal to and the line is going to the left so it is less than

Answer: x<4

Step-by-step explanation:

good morning,
What is the domain of the function graphed below?
thanks yall

Answers

Answer:

A. {x / x ≠ -2, 3}

Step-by-step explanation:

In the graph, we can find the vertical asymptotes of the given graph is at x = -2 and x = 3.

You can see the vertical line red dotted line in the graph. That is called vertical asymptotes.

The vertical asymptotes cannot be the domain of the functions.

All other integers are domain except x = -2 and x = 3.

Therefore, answer is A. {x / x ≠ -2, 3}

Solve for x: 3x = 2/5

Answers

Answer:

x=2/15

Step-by-step explanation:

3x=2/5

/3 to both sides

3×/3=2/5/3

x=2/15

You run around a park 18 times. Each lap is 1/6 mile. How many miles do you run

Answers

Answer:3

Step-by-step explanation:

Divide 18 by 6

Answer:

3 miles

Step-by-step explanation:

If each lap is one mile, 18 times = 1/6 + 1/6 + ... + 1/6. This is equal to 18*1/6 by definition of multiplication, and 18*1/6 = 18 divided by 6 because fractions are just big division symbols. This gives 3 or 3 miles.

You have $1000 in a savings account and the compound interest rate is 5% per year. After 5 years, how much money approximately do you have in the savings account if you left the money to grow? A) $1000 B) $1215 C) $1250 D) $1275

Answers

Answer:

$1275

Step-by-step explanation:

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