A solid has its base in the region under the curve on

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

Problem

A solid has its base in the region under the curve

y=g(x)

0\le x\le 5

. Squares are erected perpendicular to the

x

–axis, and the side length of each square is

k\,g(x)

, where

k>0

is a constant. The volume of the solid is

V

when

k=1

. What is the volume when

k=3

? (a)

9V

(b)

3V

(c)

27V

(d)

6V