The region bounded by and for is revolved about the –axis
MATHEMATICS · Multi-part · AP · Calculus AB · Applications of Integration · Applications of Integration
Problem
The region bounded by x=y2 and x=4 for 0≤y≤2 is revolved about the y–axis, generating a solid.
(a) Write, but do not evaluate, a definite integral whose value equals the volume of the solid.
(b) Evaluate the integral obtained in part (a) to determine the exact volume of the solid.