Cones

Practice Questions

HiSet: High School Equivalency Test: Math › Cones

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1

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

2

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

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

3

The volume of a cone is . Which of the following most closely approximates the radius of the base of the cone if its height is ?

4

About the y-axis, rotate the triangle formed with the x-axis, the y-axis, and the line of the equation

.

Give the volume of the solid of revolution formed.

5

About the -axis, rotate the triangle whose sides are along the -axis, the -axis, and the line of the equation

.

Give the volume of the solid of revolution formed.

6

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

7

A right cone has height 10 and slant height 20. Which of the following correctly gives its volume? (Round to the nearest whole number).

8

A right cone has slant height 20; its base has radius 10. Which of the following gives its volume to the nearest whole number?

(Round to the nearest whole number).

9

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

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

10

A right cone has height 20; its base has radius 10. Which of the following correctly gives its volume? (Round to the nearest whole number).

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