Question

Assume Cylinder A and Cone B are the same height and the bases have the same radius. If A has a volume of 18π cm3, what is the volume of B?

Answer 1

The volume of a cone is (1/3) that of its similar cylinder.
Thus the volume of the cone B would be:
`6 \pi cm^(3)`

Answer 2

The volume of cone is
`6\pi\ cm^(3).`

Explanation:

Formula

`Volume\ of\ a\ cylinder = \pi r^(2)h`

`Volume\ of\ a\ cone = \pi\ r^(2)(h)/(3)`

Where r is the radius and h is the height .

As given

Assume Cylinder A and Cone B are the same height and the bases have the same radius. If A has a volume of 18π cm³.

Thus

`Volume\ of\ cone = (1)/(3)* Volume of cylinder`

`Volume\ of\ cone = (18\pi )/(3)`

`Volume\ of\ cone = 6\pi\ cm^(3)`

Therefore the volume of cone is
`6\pi\ cm^(3).`