Set Up the Double Integral Required to Find the Moment $y = 1$

Multiple Choice

Set up the double integral required to find the moment of inertia I, about the line $y = 1$ , of the lamina bounded by the graphs of the equations $y = 9 - x ^ { 2 }$ and $y = 0$ for the density $\rho = k$ . Use a computer algebra system to evaluate the double integral.

A) $\frac { 15,606 k } { 35 }$
B) $\frac { 15,426 k } { 35 }$
C) $\frac { 16,326 k } { 35 }$
D) $\frac { 16,236 k } { 35 }$
E) $\frac { 15,516 k } { 35 }$