A bowl is designed by revolving completely the area enclosed by \(y = x^2\) - 1, y = 3 and x ≥ 0 around the axis. What is the volume of this bowl?

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

jamb 2000 mathematics

The correct answer is B. 15π/2 cubic units

The required volume = ∫ 3πx^2 dx = 15π/2 cubic units

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