A Phonograph Turntable Is Made in the Shape of a Circular

Multiple Choice

A phonograph turntable is made in the shape of a circular disk of radius 6 inches with density function $p ( x , y ) = \sqrt { x ^ { 2 } + y ^ { 2 } }$ . Find the mass of the disk.

A) 60 $\pi$
B) 96 $\pi$
C) 108 $\pi$
D) 120 $\pi$
E) 144 $\pi$
F) 180 $\pi$
G) 192 $\pi$
H) 240 $\pi$