Answer
$\dfrac{500 \pi }{3} \ unit \ cube$
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: $V=\pi \int_p^q [f(x)]^2 dx\\=\pi \int_{-5}^{5} [\sqrt {25-x^2}]^{2} \ dx \\= \pi \int_{-5}^{5} (25-x^2) \ dx \\=2 \pi [25-x^2] \\=2 \pi [125-\dfrac{125}{3}]\\=\dfrac{500 \pi }{3} \ unit \ cube$
