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Question

The area of the base of a right circular cylinder is 81π. If its height is 14 cm, find the curved surface of the cylinder.

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Solution

Let the radius of the base be r cm
Area of base of the cylinder = 81π
We know, Area of base = πr2
πr2=81π
r2=81
r=9

Height = 14cm
CSA of cylinder =2πrh
=2×π×9×14
=2×227×9×14 cm2
=22×36cm2=792cm2

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