Question

The volume of a right circular cone is 300 cubic inches. What is the volume, in cubic inches, of a right cylinder that

has the same base and height as the cone?

Answer 1

The volume of a right cylinder is equal to the 3 times of the volume of a right circular cone.

Explanation:

Given that,

The volume of a right circular cone is 300 cubic inches

We need to find the volume of a right cylinder that has the same base and height as the cone.

Volume of a cone is given by :

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

And volume of a cylinder is given by :

`V'=\pi r'^2 h'`

If the base and height of cone and cylinder are same, r=r' and h=h'

`(V)/(V')=(1/3\pi r^2 h)/(\pi r'^2h')\\\\=(1/3\pi r^2 h)/(\pi r^2h)\\\\(V)/(V')=(1)/(3)\\\\V'=3V`

So, the volume of a right cylinder is equal to the 3 times of the volume of a right circular cone.