Solve the Problem $\delta ( x , y , z ) = \frac { 1 } { 36 - x ^ { 2 } - y ^ { 2 } }$

question 303

Multiple Choice

Solve the problem.
-Find the mass of the region of density $\delta ( x , y , z ) = \frac { 1 } { 36 - x ^ { 2 } - y ^ { 2 } }$ bounded by the hemisphere $z = \sqrt { 36 - x ^ { 2 } - y ^ { 2 } }$ and the $x y$ -plane.

• A) \(24 \pi\)
• B) \(6 \pi\)
• C) \(12 \pi\)
• D) \(48 \pi\)

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