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JAMB - Mathematics (2002 - No. 45)

In the diagram above, a cylinder is summounted by a hemisphere bowl. Calculate the volume of the solid.
180 πcm3
162 πcm3
216 πcm3
198 πcm3

Explanation

Volume of cylinder = πr2h
= π x 32 x 20
= π x 9 x 20
= 180 πcm3
Volume of hemisphere = 2/3πr3
= 2/3 x π x 32
= 2 x π x 32
= 2 x π x 9
= 18π
= Volume of the solid = 180π x 18π
= 198πcm3

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