How to find the volume of a cone

Practice Questions

ACT Math › How to find the volume of a cone

Questions
10
1

You have an empty cone and a cylinder filled with water. The cone has a diameter of and a height of . The cylinder has a diameter of and a height of . If you dump the water from the cylinder into the cone until it is filled, what volume of water will remain in the cylinder?

2

You have two cones, one with a diameter of and a height of and another with a diameter of and a height of . If you fill the smaller cone with sand and dump that sand into the larger cone, how much empty space will be left in the larger cone?

3

Find the volume of a cone whose diameter is and height is .

4

A conical paper cup is being used as a makeshift funnel for motor oil. If the cup is 100 millimeters deep at the center and has a radius of 70 millimeters, how many cubic millimeters of motor oil can it hold at one time? Round your final answer to the nearest integer.

5

What is the volume of a cone with a radius of and a height of ? Leave your answer in terms of , reduce all fractions.

6

Which of the following will quadruple the volume of a cone?

  1. Doubling the radius
  2. Doubling the height
  3. Quadrupling the height
7

What is the volume of a cone with a radius of 3 mm and a height of 6 mm?

8

Find the volume of a cone with radius and height of .

9

You have an empty cylinder with a base diameter of 6 and a height of 10 and you have a cone full of water with a base radius of 3 and a height of 10. If you empty the cone of water into the cylinder, how much volume is left empty in the cylinder?

10

What is the volume of a cone with a height of 7 cm and a radius of 4 cm? Leave your answer in terms of and as a fraction if need be.

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