Solve the Problem $( 0,0,2 )$ B) $( 0,0,4 )$ C) $\left( 0,0 , \frac { 15 } { 4 } \right)$

Multiple Choice

Solve the problem.
-A solid of constant density is bounded below by the plane z = 0, above by the cone z = r, and on the sides by the cylinder r = 6. Find the center of mass.

A) $( 0,0,2 )$
B) $( 0,0,4 )$
C) $\left( 0,0 , \frac { 15 } { 4 } \right)$
D) $\left( 0,0 , \frac { 9 } { 4 } \right)$