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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 = 2/3Ï€r3
= 2/3 x π x 32
= 2 x π x 32
= 2 x π x 9
= 18Ï€
= Volume of the solid = 180Ï€ x 18Ï€
= 198Ï€cm3

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