Mathematics

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}

\dfrac{27}{4}

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

3\sqrt{3}