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Gre4nikov [31]
3 years ago
6

The volume of a right circular cone is 300 cubic inches. What is the volume, in cubic inches, of a right cylinder that

Mathematics
1 answer:
Anna71 [15]3 years ago
7 0

Answer:

The volume of a right cylinder is equal to the 3 times of the volume of a right circular cone.

Step-by-step explanation:

Given that,

The volume of a right circular cone is 300 cubic inches

We need to find the volume of a  right cylinder that  has the same base and height as the cone.

Volume of a cone is given by :

V=\dfrac{1}{3}\pi r^2h

And volume of a cylinder is given by :

V'=\pi r'^2 h'

If the base and height of cone and cylinder are same, r=r' and h=h'

\dfrac{V}{V'}=\dfrac{1/3\pi r^2 h}{\pi r'^2h'}\\\\=\dfrac{1/3\pi r^2 h}{\pi r^2h}\\\\\dfrac{V}{V'}=\dfrac{1}{3}\\\\V'=3V

So, the volume of a right cylinder is equal to the 3 times of the volume of a right circular cone.

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