Answer:
The volume of cone is \(6\pi\ cm^{3}.\)
Step-by-step explanation:
Formula
\(Volume\ of\ a\ cylinder = \pi r^{2}h\)
\(Volume\ of\ a\ cone = \pi\ r^{2}\frac{h}{3}\)
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
\(Volume\ of\ cone = \frac{1}{3}\times Volume of cylinder\)
\(Volume\ of\ cone = \frac{18\pi }{3}\)
\(Volume\ of\ cone = 6\pi\ cm^{3}\)
Therefore the volume of cone is \(6\pi\ cm^{3}.\)
