Question on: JAMB Mathematics - 2000
A bowl is designed by revolving completely the area enclosed by y = x2 - 1, y = 3 and x ≥ 0 around the axis. What is the volume of this bowl?
A
7π cubic units
B
15π/2 cubic units
C
8π cubic units
D
17π/2 cubic units
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Correct Option: B
∫30 π(y+1) dy = π[y2 + y30
= π(9/2 + 3) = 15π/2
= π(9/2 + 3) = 15π/2
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