A bowl is designed by revolving completely the area enclosed by y = x2 – 1, y = 3 and x ≥ 0 around the y-axis. What is the volume of this bowl?
- 7π cubic units
-
15π/2 cubic units
- 8π cubic units
- 17π/2 cubic units
The correct answer is: B
Explanation
∫30 π(y+1) dy = π[y2 + y30
= π(9/2 + 3) = 15π/2
There is an explanation video available .