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GED Math : GED Math

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4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #15 : Volume Of A Cylinder

Find the volume of a cylinder with a height of 11in and a diameter of 6in.

Possible Answers:

$127\pi \text{ in}^3$

$45\pi \text{ in}^3$

$67\pi \text{ in}^3$

$99\pi \text{ in}^3$

$66\pi \text{ in}^3$

Correct answer:

$99\pi \text{ in}^3$

Explanation:

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

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

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

Now, we know the height of the cylinder is 11in.

We know the diameter of the cylinder is 6in. We also know the diameter is two times the radius. Therefore, the radius is 3in.

Knowing all of this, we can substitute into the formula. We get

$V = \pi \cdot (3\text{in})^2 \cdot 11\text{in}$

$V = \pi \cdot 9\text{in}^2 \cdot 11\text{in}$

$V = \pi \cdot 99\text{in}^3$

$V = 99\pi \text{ in}^3$

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Example Question #1581 : Ged Math

Determine the volume of a cylinder with a radius of 5, and a height of 20.

Possible Answers:

$500 \pi$

$1000\pi$

$100\pi$

$250\pi$

$50\pi$

Correct answer:

$500 \pi$

Explanation:

Write the formula for the volume of a cylinder.

$V=\pi r^2h$

Substitute the radius and the height into the formula.

$V=\pi (5^2)(20) = \pi (25)(20) = 500 \pi$

The answer is: $500 \pi$

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Example Question #11 : Volume Of A Cylinder

Find the volume of a cylinder if the base area is 4, and the height is 15.

Possible Answers:

240

$60\pi$

$240\pi$

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

Correct answer:

Explanation:

Write the formula for the volume of a cylinder.

$V=\pi r^2h$

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

This means that we can substitute the base area into the term $\pi r^2$ .

$V=(\pi r^2)h = 4(15) = 60$

The answer is:

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Example Question #21 : Volume Of A Cylinder

A cylinder has the following measurements:

Height: 8in
Diameter: 6in

Find the volume.

Possible Answers:

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

$64\pi \text{ in}^3$

$16\pi \text{ in}^3$

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

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

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.

Knowing this, 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 #615 : Geometry And Graphs

What is the volume of a cylinder with a base area of $\sqrt\pi$ and a height of ?

Possible Answers:

$9\pi$

$3\sqrt{\pi}$

$3\pi$

$9\sqrt{\pi}$

Correct answer:

$3\sqrt{\pi}$

Explanation:

Write the formula for the volume of the cylinder.

$V=\pi r^2h$

The base area is a circle, which is $\pi r^2$ , and the area is already given.

This means we can substitute the area into the formula as is.

$V=\sqrt{\pi}(3)$

The answer is: $3\sqrt{\pi}$

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Example Question #63 : 3 Dimensional Geometry

Find the volume of a cylinder with a base diameter of 6, and a height of 7.

Possible Answers:

$63\pi$

$21\pi$

$126\pi$

$42\pi$

$84\pi$

Correct answer:

$63\pi$

Explanation:

Write the formula for the area of a cylinder.

$V=\pi r^2 h$

The radius is half the diameter, of three.

Substitute the known dimensions into the formula.

$V=\pi (3)^2 7 = \pi (9) 7 = 63\pi$

The answer is: $63\pi$

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Example Question #1582 : Ged Math

Find the volume of a cylinder with a radius of 8, and a height of 20.

Possible Answers:

$120\pi$

$640\pi$

$320\pi$

$\frac{1280}{3}\pi$

$1280\pi$

Correct answer:

$1280\pi$

Explanation:

Write the formula for the volume of a cylinder.

$V=\pi r^2h$

Substitute the radius and height into the equation.

$V=\pi( 8)^2(20)= \pi( 64)(20)$

The answer is: $1280\pi$

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Example Question #71 : 3 Dimensional Geometry

Let $\pi = 3.14$

If a cylinder has a height of 7in and a radius of 4in, find the volume.

Possible Answers:

$175.84\text{in}^3$

$351.68\text{in}^3$

$615.44\text{in}^3$

$703.36\text{in}^3$

$87.92\text{in}^3$

Correct answer:

$351.68\text{in}^3$

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.

We know $\pi=3.14$ .

We know the radius of the cylinder is 4in.

We know the height of the cylinder is 7in.

Now, we can substitute. We get

$V = 3.14 \cdot (4\text{in})^2 \cdot 7\text{in}$

$V = 3.14 \cdot 16\text{in}^2 \cdot 7\text{in}$

$V = 3.14 \cdot 112\text{in}^3$

$V = 351.68\text{in}^3$

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Example Question #72 : 3 Dimensional Geometry

Find the volume of a cylinder with a base area of 15, and a height of 10.

Possible Answers:

$\frac{75}{4}\pi$

$2250\pi$

150

2250

$150\pi$

Correct answer:

150

Explanation:

Write the volume formula for the cylinder. The area of the base is a circle or $\pi r^2$ .

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

Substitute the base and height.

V =(15)(10) = 150

The volume is: 150

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Example Question #73 : 3 Dimensional Geometry

Let $\pi = 3.14$ .

Find the volume of a cylinder with a radius of 4cm and a height of 6cm.

Possible Answers:

$87.92\text{cm}^3$

$75.36\text{cm}^3$

$150.72\text{cm}^3$

$301.44\text{cm}^3$

$452.16\text{cm}^3$

Correct answer:

$301.44\text{cm}^3$

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 $\pi = 3.14$ . We know the radius of the cylinder is 4cm. We know the height of the cylinder is 6cm. So, we substitute. We get

$V = 3.14 \cdot (4\text{cm})^2 \cdot 6\text{cm}$

$V = 3.14 \cdot 16\text{cm}^2 \cdot 6\text{cm}$

$V = 3.14 \cdot 96\text{cm}^3$

$V = 301.44\text{cm}^3$

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All GED Math Resources

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GED Math : GED Math

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #15 : Volume Of A Cylinder

Example Question #1581 : Ged Math

Example Question #11 : Volume Of A Cylinder

Example Question #21 : Volume Of A Cylinder

Example Question #615 : Geometry And Graphs

Example Question #63 : 3 Dimensional Geometry

Example Question #1582 : Ged Math

Example Question #71 : 3 Dimensional Geometry

Example Question #72 : 3 Dimensional Geometry

Example Question #73 : 3 Dimensional Geometry

All GED Math Resources

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