Answer
$36 \pi \approx 152.05$
Work Step by Step
Since, the vertical slices solid are circular discs , so we will use the disk method to compute the volume of revolution of the curve.
The volume of revolution of the curve can be expressed as: $V=\pi \int_p^q [f(x)]^2 dx\\=\pi \int_0^3 [2x]^2 \ dx \\=4 \pi \int_0^3 x^2 \ dx \\=4 \pi [\dfrac{27}{3}-0]_0^3 \\=36 \pi \approx 152.05$
