Q12 of 70 Page 21

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.

Volume of a sphere = (4/3)πr3


Volume of a cylinder = πr2h


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


⇒ h = (2/3) × 2r = 4r/3


Thus,


⇒ r = 4 cm


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