Let and . The region bounded by , , and is revolved about the vertical line . Derive…

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Let

h > 0

and

k > h^2

. The region bounded by

x = 0

x = y^2

, and

0 \le y \le h

is revolved about the vertical line

x = k

. Derive a simplified formula for the volume of the solid in terms of

h

and

k