Question

FIND THE RATIOS OF VOLUMES OF CYLINDER AND CONE HAVING SAME BASE RADII AND SAME HEIGHTS.

Answer 1

HERE IS YOUR ANSWER

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Answer 2

Answer:

Ratio of their volume is 3:1

Step-by-step explanation:

Given cylinder and cone having same base radii and same heights. We have to find the ratios of volume of cylinder and and cone.

As, $V(cone)=\frac{1}{3}\pi r^2\times h$

where r and h is the radius and height of the cone.

and also, given cylinder and cone having same base radii and same heights.

∴$V(cylinder)=\pi r^2\times h$

Ratio=$\frac{V(cylinder)}{V(cone)}$

        =$\frac{\pi r^2\times h}{\frac{1}{3}\pi r^2\times h}=\frac{3}{1}$

Hence, Ratio of their volume is 3:1