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: Option B
Explanation
∫30 π(y+1) dy = π[y2 + y30
= π(9/2 + 3) = 15π/2