A solid is formed by revolving about the –axis the region under the continuous function on

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

A solid is formed by revolving about the

x

–axis the region under the continuous function

y=f(x)

[a,b]

, producing a volume

V

. If the new solid is formed instead by revolving the region under

y=3f(x)

on the same interval, which of the following best describes the new volume? (a)

3V

(b)

\dfrac{1}{3}V

(c)

9V

(d)

27V