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GED Math : Volume of a Cylinder

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Example Questions

Example Question #77 : 3 Dimensional Geometry

Determine the volume of a cylinder with a base area of 8, and a height of 6.

Possible Answers:

384

$\textup{The answer is not given.}$

$48\pi$

$384\pi$

Correct answer:

Explanation:

Write the volume for a cylinder.

$V =\pi r^2h$

The base of a cylinder is a circle, and the area of the base is: $\pi r^2$

We can substitute the area and the height.

$V =\pi r^2h= Bh = 8(6) = 48$

The answer is:

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Example Question #78 : 3 Dimensional Geometry

Find the volume of a cylinder with a radius of 7in and a height of 4in.

Possible Answers:

$224\pi \text{ in}^3$

$112\pi \text{ in}^3$

$196\pi \text{ in}^3$

$448\pi \text{ in}^3$

$192\pi \text{ in}^3$

Correct answer:

$196\pi \text{ in}^3$

Explanation:

To find the volume of a cylinder, we will use the following formula:

$V = \pi r^2 h$

where r is the radius and h is the height of the cylinder.

Now, we know the radius is 7in. We know the height is 4in. So, we substitute. We get

$V = \pi \cdot (7\text{in})^2 \cdot 3\text{in}$

$V = \pi \cdot 49\text{in}^2 \cdot 4\text{in}$

$V = \pi \cdot 196\text{in}^3$

$V = 196\pi \text{ in}^3$

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Example Question #73 : 3 Dimensional Geometry

Determine the volume of a cylinder with a radius of 3 and a height of 9.

Possible Answers:

$\frac{27}{2}\pi$

$27\pi$

$54\pi$

$243\pi$

$81\pi$

Correct answer:

$81\pi$

Explanation:

Write the formula for the volume of the cylinder.

$V=\pi r^2 h$

$V=\pi (3)^2 (9) = 81 \pi$

The answer is: $81\pi$

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Example Question #632 : Geometry And Graphs

Find the volume of a cylinder with a diameter of 6in and a height of 8in.

Possible Answers:

$48\pi \text{ in}^3$

$96\pi \text{ in}^3$

$72\pi \text{ in}^3$

$24\pi \text{ in}^3$

$288\pi \text{ in}^3$

Correct answer:

$72\pi \text{ in}^3$

Explanation:

To find the volume of a cylinder, we will use the following formula:

$V = \pi r^2 h$

where r is the radius and h is the height of the cylinder.

Now, we know the diameter of the cylinder is 6in. We know the diameter is two times the radius. Therefore, the radius is 3in. We know the height of the cylinder is 8in. So, we can substitute. We get

$V = \pi \cdot (3\text{in})^2 \cdot 8\text{in}$

$V = \pi \cdot 9\text{in}^2 \cdot 8\text{in}$

$V = \pi \cdot 72\text{in}^3$

$V = 72\pi \text{ in}^3$

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Example Question #632 : Geometry And Graphs

What is the radius of a cylinder if it has a height of and a volume of 1050.25 ?

Possible Answers:

5.09

2.18

4.57

6.33

Correct answer:

4.57

Explanation:

Recall how to find the volume of a cylinder:

$\text{Volume}=\pi r^2 h$ , where is the radius, and is the height.

Plug in the given information and solve for the radius.

$1050.25=\pi r^2(16)$

r^2=20.894

r=4.57

The radius of the cylinder is 4.57 .

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Example Question #82 : 3 Dimensional Geometry

Determine the volume of a cylinder with a base area of 10, and a height of 20.

Possible Answers:

$2000\pi$

2000

$200\pi$

200

Correct answer:

200

Explanation:

Write the formula for the volume of the cylinder.

$V = \pi r^2 h$

The base of a cylinder is a circle, and the area of the circle is $\pi r^2$ .

Substitute the base and height into the equation.

V= (10)(20) = 200

The answer is: 200

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Example Question #31 : Volume Of A Cylinder

Find the volume of the cylinder with a radius of 7 and a height of 10.

Possible Answers:

$\frac{70}{3}\pi$

$70\pi$

$4900\pi$

$490\pi$

$\frac{490}{3}\pi$

Correct answer:

$490\pi$

Explanation:

Write the formula for the volume of a cylinder.

$V= \pi r^2h$

Substitute the radius and height into the equation.

$V= \pi (7)^2(10) = \pi (49) (10) = 490\pi$

The answer is: $490\pi$

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Example Question #32 : Volume Of A Cylinder

Find the volume of a cylinder with a radius of 3 and a height of 30.

Possible Answers:

$90\pi$

$180\pi$

$2700\pi$

$270\pi$

$540\pi$

Correct answer:

$270\pi$

Explanation:

Write the formula for the volume of a cylinder.

$V = \pi r^2h$

Substitute the dimensions.

$V = \pi (3)^2(30) = \pi (9)(30) = 270\pi$

The answer is: $270\pi$

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Example Question #36 : Volume Of A Cylinder

Find the volume of the cylinder if the radius is $3\pi$ and the height is $5\pi$ .

Possible Answers:

$15\pi^2$

$15\pi^3$

$9\pi ^4$

$90\pi ^4$

$45\pi ^4$

Correct answer:

$45\pi ^4$

Explanation:

Write the formula for a cylinder.

$V= \pi r^2h$

Substitute the dimensions.

$V= \pi (3\pi)^2(5\pi) = 45\pi ^4$

The answer is: $45\pi ^4$

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Example Question #37 : Volume Of A Cylinder

Find the volume of the cylinder with a base area of 9, and a height of $2\pi$ .

Possible Answers:

$\textup{The answer is not given.}$

$18\pi$

$81\pi^2$

$162\pi ^2$

$162\pi$

Correct answer:

$18\pi$

Explanation:

Write the formula for the volume of a cylinder.

$V = \pi r^2 h =Bh$

The base is a circular shape, and its area is already provided. This means we can substitute the base area for $\pi r^2$ .

$V= 9(2\pi)$

The answer is: $18\pi$

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GED Math : Volume of a Cylinder

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #77 : 3 Dimensional Geometry

Example Question #78 : 3 Dimensional Geometry

Example Question #73 : 3 Dimensional Geometry

Example Question #632 : Geometry And Graphs

Example Question #632 : Geometry And Graphs

Example Question #82 : 3 Dimensional Geometry

Example Question #31 : Volume Of A Cylinder

Example Question #32 : Volume Of A Cylinder

Example Question #36 : Volume Of A Cylinder

Example Question #37 : Volume Of A Cylinder

All GED Math Resources

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