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2000

Mathematics

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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

Correct Answer: 15π/2 cubic units

Explanation

30 π(y+1) dy = π[y2 + y30 = π(9/2 + 3) = 15π/2

30 π(y+1) dy = π[y2 + y30 = π(9/2 + 3) = 15π/2
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