Question

If the volume of a cone is 325 cubic units, what will be the volume of a cylinder withsame height and base as the cone?

Answer 1

The volume of a cone is given by:

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

where, r is the radius and h is the height. The volume of a cylinder is:

`V=\pi r^2h`

where r is the radius and h is the height.

From these expressions we notice that the volume of a cone is a third of the volume of a cylinder with the same height a base, then we have:

`V^(\prime)=(1)/(3)V`

If the volume of the cone is 325 then we have:

`\begin{gathered} 325=(1)/(3)V \\ V=(3)(325) \\ V=975 \end{gathered}`

Therefore, the volume of the cylinder is 975 cubic units.