Find the Mass of the Lamina Bounded by the Graphs $y = \sqrt { 441 - x ^ { 2 } }$

question 37

Multiple Choice

Find the mass of the lamina bounded by the graphs of the equations $y = \sqrt { 441 - x ^ { 2 } }$ and $0 \leq y \leq x$ for the density $\rho = k$

• A) \(\frac { 441 \pi k } { 4 }\)
• B) \(\frac { 445 \pi k } { 8 }\)
• C) \(\frac { 441 \pi k } { 8 }\)
• D) \(\frac { 457 \pi k } { 8 }\)
• E) \(\frac { 445 \pi k } { 4 }\)

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