Question

How to find volume of a cylinder by using the same dimensions of a cone but only knowing the volume of the cone

Answer 1

Multiply the volume of the cone by 3

Explanation:

Required

Volume of a cylinder from a cone of the same dimension

The volume of a cone is:

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

The volume of a cylinder is:

`V_2 = \pi r^2h`

Recall that:

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

Split:

`V_1 = (1)/(3)*[\pi r^2h]`

Substitute:
`V_2 = \pi r^2h`

`V_1 = (1)/(3)*V_2`

Make V2 the subject

`V_2 =3V_1`

This implies that, we simply multiply the volume of the cone by 3