Which of the following definite integrals equals the volume of the solid generated…

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

Problem

Which of the following definite integrals equals the volume of the solid generated when the region bounded by the graph of

y=2x

and the

x

–axis on the interval

0\le x\le 3

is revolved about the

x

–axis? (a)

\pi\int_{0}^{3} 2x\,dx

(b)

\pi\int_{0}^{3} x^{2}\,dx

(c)

\pi\int_{0}^{3} (2x)^{2}\,dx

(d)

2\pi\int_{0}^{3} x(2x)\,dx