Q6 of 32 Page 250

A cylinder and cone have base of equal radii and are of equal heights. Show that their volumes are in the ratio of 3 : 1.


Given that, A cylinder and cone have base of equal radii and are of equal heights and their volumes are in the ratio of 3 : 1.


⇒ Let r = radius of cylinder = radius of cone,


and h = height of cylinder = height of cone.


⇒ And, volume of cylinder = πr2h


Volume of cone




⇒ Their volumes are in the ratio of 3 : 1.


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(use π = 3.14)