Question on: JAMB Mathematics - 2002

In the diagram, a cylinder is surmounted by a hemispherical bowl. Calculate the volume of the solid
A
198\(\pi cm^3\)
B
180\(\pi cm^3\)
C
162\(\pi cm^3\)
D
216\(\pi cm^3\)
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Correct Option: A

V = (\pi r^2 h + \frac{2}{3} \pi r^3)

N.B h = r

V = (\pi x (3)^2) x 20 = (\frac{2}{3} \times \pi \times (3)^3)

180(\pi + 18 \pi = 198cm^3)

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