A bowl is designed by revolving completely the area enclosed by y = x\(^2\) - 1, y = 3, and x \ge 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
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
∫30 \pi(y+1) dy = \pi[y\(^2 + y]^3_0\)
= \pi(9/2 + 3) = 15\pi/2
Source: Myschool Past Questions Archive (Record #834)