Find the Volume of the Described Solid $x$ -Axis At $x = - 5$

Multiple Choice

Find the volume of the described solid.
-The solid lies between planes perpendicular to the $x$ -axis at $x = - 5$ and $x = 5$ . The cross sections perpendicular to the $x$ -axis are circular disks whose diameters run from the parabola $y = x ^ { 2 }$ to the parabola $y = 50 - x ^ { 2 }$ .

A) $\frac { 500 } { 3 } \pi$
B) $\frac { 10000 } { 3 } \pi$
C) $\frac { 5000 } { 3 } \pi$
D) $5000 \pi$