Answer
$\dfrac{500 \sqrt 3}{3}$
Work Step by Step
The volume of a solid by using general slicing method can be computed as:
$V=\int_a^b A(x) dx=\sqrt 3 \int_{-5}^{5} (25-y^2) \ dy \\= 2 \int_0^{5} \sqrt 3( 25-y^2) \ dy \\=2 \sqrt 3 [25 y -\dfrac{y^3}{3}]_0^{5} \\=2 \sqrt 3 [25(5) -\dfrac{(5)^3}{3}] \\=\dfrac{500 \sqrt 3}{3}$
