Q6 of 44 Page 14

A cylinder, whose height is two-thirds of its diameter, has the same volume as a sphere of radius 4 cm. Calculate the radius of the base of the cylinder.

Let height of a cylinder = h


and diameter = d


According to question,





Given: Radius of Sphere, R = 4cm


Volume of Cylinder = Volume of Sphere (Given)




⇒ r3 = R3


⇒ r3 = 43


⇒ r = 4cm


Hence, Radius of base of the cylinder is 4cm.


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