Solve the Problem $y$ -Axis of the Thin Semicircular Region of Constant Density

Multiple Choice

Solve the problem.
-Find the moment of inertia about the $y$ -axis of the thin semicircular region of constant density $\delta = 3$ bounded by the $x$ -axis and the curve $y = \sqrt { 49 - x ^ { 2 } }$ .

A) $2401 \pi$
B) $\frac { 7203 } { 8 } \pi$
C) $\frac { 7203 } { 4 } \pi$
D) $\frac { 2401 } { 2 } \pi$