Determine the value of such that the volume of the solid obtained by revolving the…

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

Problem

Determine the value of

k>0

such that the volume of the solid obtained by revolving the region bounded by

y=kx

, the

x

-axis, and the lines

x=0

and

x=2

about the

x

-axis is

18\pi

cubic units. (a)

\dfrac{3\sqrt{3\pi}}{2}

(b)

\dfrac{27}{4}

(c)

\dfrac{3\sqrt{3}}{2}

(d)

3\sqrt{3}