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A bowl is designed by revolving completely the area enclosed by y = x\(^2\) -...

Mathematics
JAMB 2000

A bowl is designed by revolving completely the area enclosed by y = x\(^2\) - 1, y = 3, and x ≥ 0 around the y-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 Answer: Option B
Explanation

∫30 π(y+1) dy = π[y\(^2 + y]^3_0\)
= π(9/2 + 3) = 15π/2

There is an explanation video available below.

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Explanation Video

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