Question

The volume of a cylinder is approximately 72ft^3. Which is the best approximation of the volume of a cone with the same base and height as the cylinder?

24ft^3
216ft^3
24 π ft^3
216 π ft^3

Answer 1

The answer to your question is 24ft^3

Answer 2

volume of the cone is 24 cubic feet.

First option is correct.

Explanation:

Given that volume of a cylinder is approximately 72 cubic feet.

Formula for volume of cylinder is given by

`V=\pi r^2h`

Plugging the value of volume

`72=\pi r^2h`

Divide both sides by 3, we get

`(1)/(3)\pi r^2h=(72)/(3)\\\\(1)/(3)\pi r^2h=24`

The volume of cone is given by
`V=(1)/(3)\pi r^2h`

Hence, the volume of the cone is 24 cubic feet.

First option is correct.