A cylinder and a cone are of the same base radius and the same height. Find the ratio of the volume of the cylinder to that of the cone.

Correct option is A

Given:

A cylinder and a cone have the same base radius r and the same height h

Solution:

Volume of a Cylinder:

​$$V_{cylinder} = \pi r^2h$$ 

​Volume of a Cone:

​$$V_{cone}$$ = $$\frac{1}{3} \pi r^2h$$ 

The ratio of the volumes:

​$$\frac{V_{cylinder}}{V_{cone}}$$ = $$\frac{\pi r^2h}{\frac{1}{3} \pi r^2h}$$​​

​$$\frac{V_{cylinder}}{V_{cone}}$$= $$\frac{\pi r^2 h \times 3}{ \pi r^2 h}$$ = 3

The ratio of the volume of the cylinder to that of the cone is 3:1.​

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