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

Question

asked Aug 12, 2020 118k views

1 Answer

Pimmol · Answer 1 · 2020-08-19T01:25:36+0000

Answer:

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)

$V=26\ cm^(3)$