Q7 of 67 Page 190

The volume of a cylinder is 30π cm3 and the area of it base is 6π cm2. Find the height of the cylinder.

Let the radius of base of cylinder be r


Area of base = 6π cm2


Area of base = πr2


⇒ πr2 = 6π


⇒ r2 = 6


Volume of cylinder = 30π cm3


Let h be the height of cylinder


Volume of cylinder = πr2h


⇒ πr2h = 30π


⇒ 6h = 30


⇒ h = 5 cm


Height of cylinder is 5 cm


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