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

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 $6\pi\ cm^{3}.$

Answer 2

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