GED Math : Geometry and Graphs

Study concepts, example questions & explanations for GED Math

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Example Questions

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:

Correct answer:

Explanation:

Write the formula for the area of a cylinder.

The radius is half the diameter, of three.

Substitute the known dimensions into the formula.

The answer is:  

Example Question #621 : Geometry And Graphs

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

Possible Answers:

Correct answer:

Explanation:

Write the formula for the volume of a cylinder.

Substitute the radius and height into the equation.

The answer is:  

Example Question #71 : 3 Dimensional Geometry

Let 

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

Possible Answers:

Correct answer:

Explanation:

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

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

We know .

We know the radius of the cylinder is 4in.

We know the height of the cylinder is 7in.

Now, we can substitute. We get

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:

Correct answer:

Explanation:

Write the volume formula for the cylinder. The area of the base is a circle or .

 

Substitute the base and height.

The volume is:  

Example Question #73 : 3 Dimensional Geometry

Let .

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

Possible Answers:

Correct answer:

Explanation:

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

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

Now, we know . We know the radius of the cylinder is 4cm. We know the height of the cylinder is 6cm. So, we substitute. We get

Example Question #622 : Geometry And Graphs

Find the volume of a cylinder with a radius of 10, and a height of 20.

Possible Answers:

Correct answer:

Explanation:

Write the formula for the volume of a cylinder.

Substitute the radius and height.

The answer is:  

Example Question #72 : 3 Dimensional Geometry

Find the volume of a cylinder with a radius of 5 and a height of 12.

Possible Answers:

Correct answer:

Explanation:

Write the formula for the volume of a cylinder.

Substitute the dimensions.

The answer is:  

Example Question #76 : 3 Dimensional Geometry

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

Possible Answers:

Correct answer:

Explanation:

Write the formula for the volume of a cylinder.

Substitute the radius and height.

Simplify the terms.

The answer is:  

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:

Correct answer:

Explanation:

Write the volume for a cylinder.

The base of a cylinder is a circle, and the area of the base is:  

We can substitute the area and the height.

The answer is:  

Example Question #78 : 3 Dimensional Geometry

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

Possible Answers:

Correct answer:

Explanation:

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

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

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