Question

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

Answer 1

Answer:

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

Step-by-step 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 :

$V=\dfrac{1}{3}\pi r^2h$

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'

$\dfrac{V}{V'}=\dfrac{1/3\pi r^2 h}{\pi r'^2h'}\\\\=\dfrac{1/3\pi r^2 h}{\pi r^2h}\\\\\dfrac{V}{V'}=\dfrac{1}{3}\\\\V'=3V$

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