Use Cylindrical Coordinates to Find the Volume of the Solid $z = 15 x ^ { 2 } + 15 y ^ { 2 }$

Multiple Choice

Use cylindrical coordinates to find the volume of the solid bounded above by and below by $z = 15 x ^ { 2 } + 15 y ^ { 2 }$ .

A) $\frac { 15 } { 32 } \pi$
B) $\frac { 15 } { 22 } \pi$
C) $\frac { 3 } { 10 } \pi$
D) $\frac { 15 } { 46 } \pi$
E) $\frac { 15 } { 64 } \pi$