Question

EMERGENCY! PLEASE HELP!!! A cylinder and cone has the same radius and height.  The volume of the cone is 675 m^3.  What is the volume of the cylinder?​

Answer 1

The volume of the cylinder is 2025 cubic meter.

Explanation:

Given that,

A cylinder and cone has the same radius and height.

The volume of the cone is
`V_1=675\ m^3`

We need to find the volume of the cylinder. The volume of cone and cylinder are given by :

`V_1=(1)/(3)\pi r^2h` .....(1)

For cylinder,

`V_2=\pi r^2h` .....(2)

Dividing (1) and (2) we get :

`(V_1)/(V_2)=((1)/(3)\pi r^2h)/(\pi r^2h)`

As the radius and height is same for both cone and cylinder.

`(V_1)/(V_2)=(1)/(3)\\\\V_2=3V_1\\\\V_2=3* 675\\\\V_2=2025\ m^3`

So, the volume of the cylinder is 2025 cubic meter.