Use volume formulas to solve problems

Practice Questions

HiSet: High School Equivalency Test: Math › Use volume formulas to solve problems

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1

What is the volume of a cylinder with a diameter of cm and a height of cm?

2

A sphere has surface area . Give its volume.

3

About the x-axis, rotate the triangle with its vertices at , , and the origin. What is the volume of the solid of revolution formed?

4

A right pyramid and a right rectangular prism both have square bases. The base of the pyramid has sides that are 20% longer than those of the bases of the prism; the height of the pyramid is 20% greater than that of the prism.

Which of the following is closest to being correct?

5

A sphere has surface area . Give its volume.

6

About the x-axis, rotate the triangle with its vertices at , , and the origin. What is the volume of the solid of revolution formed?

7

A right pyramid and a right rectangular prism both have square bases. The base of the pyramid has sides that are 20% longer than those of the bases of the prism; the height of the pyramid is 20% greater than that of the prism.

Which of the following is closest to being correct?

8

What is the volume of a cylinder with a diameter of cm and a height of cm?

9

A right square pyramid has height 10 and a base of perimeter 36.

Inscribe a right cone inside this pyramid. What is its volume?

10

The base of a right pyramid with height 6 is a regular hexagon with sides of length 6.

Give its volume.

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