Question

A cylinder has volume 78 cm³. What is the volume of a cone with the same radius and height?​

Answer 1

The volume of the cone is
`26\ cm^(3)`

Explanation:

we know that

The volume of a cylinder is equal to

`V=\pi r^(2)h`

In this problem we have that

`V=78\ cm^(3)`

so

`78=\pi r^(2)h` -----> equation A

The volume of a cone with the same radius and height is equal to

`V=(1)/(3)(\pi r^(2)h)` -----> equation B

Substitute equation A in equation B

`V=(1)/(3)(78)`

`V=26\ cm^(3)`