Question

A cone and a cylinder have the same radii but the height of the cone is
3 times that of the cylinder. Find the ratio of their volumes.​

Answer 1

#RamRam ji..................

Answer 2

The required ratio is 1:1

Step-by-step explanation:

given

radius of cylinder = radius of cone = r

let the height of cylinder = h

then height of cone = 3h

volume of cone = $\frac{1}{3} \pi r^2h$

volume of cylinder = $\pi r ^2h$

now , ratio of volume of cone to the ratio of cylinder

$\frac{\text{volume of cone}}{\text{volume of cylinder}}= \frac{\frac{1}{3}\pi r^2(3h)}{\pi r^2(h)}\\\\\frac{\pi r^2(3h)}{3 \pi r^2(h)}$

$\frac{\text{volume of cone}}{\text{volume of cylinder}}= \frac{1}{1}$

hence , The required ratio is 1:1

#Learn more:

Find the ratio of volume of cylinder and cone having same base radii and same heights.

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