For , the region under the curve (where on the interval) is revolved about the…

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

Problem

For

a\le x\le b

, the region under the curve

y=f(x)

(where

f(x)>k

on the interval) is revolved about the horizontal line

y=k

. State an explicit algebraic expression for the radius

R(x)

of a typical circular cross-section in terms of

f(x)

and

k