Question

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

Answer 1

Answer:

The volume of the cone is $26\ cm^{3}$

Step-by-step 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

$V=\frac{1}{3}(\pi r^{2}h)$ -----> equation B

Substitute equation A in equation B

$V=\frac{1}{3}(78)$

$V=26\ cm^{3}$