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Butoxors [25]
3 years ago
5

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 v

olume of B?
Mathematics
2 answers:
Rashid [163]3 years ago
7 0

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}.

Artemon [7]3 years ago
5 0
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}
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