Find the Mass of the Surface $S$ Having the Given Mass Density

question 80

Multiple Choice

Find the mass of the surface $S$ having the given mass density.
$S$ is the hemisphere $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 64 , z \geq 0$ ; the density at a point $P$ on $S$ is equal to the distance between $P$ and the $x y$ -plane. Select the correct answer.

• A) \(64 \pi\)
• B) \(512 \pi\)
• C) 64
• D) \(8 \pi\)

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