Question on: JAMB Mathematics - 2002

In the diagram above, a cylinder is summounted by a hemisphere bowl. Calculate the volume of the solid.
A
180 πcm3
B
162 πcm3
C
216 πcm3
D
198 πcm3
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Correct Option: D

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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