Find the Mass of a Solid Hemisphere of Radius 5 $\frac { 625 } { 4 }$

Multiple Choice

Find the mass of a solid hemisphere of radius 5 if the mass density at any point on the solid is directly proportional to its distance from the base of the solid.

A) $\frac { 625 } { 4 }$ k $\pi$
B) $25$ k $\pi$
C) $\frac { 25 } { 4 }$ k $\pi$
D) $\frac { 125 } { 4 }$ k $\pi$