An upper hemisphere is given by $z = \sqrt { 16 - x ^ { 2 } - y ^ { 2 } }$ with the density function $\rho ( x , y , z ) = z$ . Find the mass of the sphere.
A) $32 \pi$
B) $8 \pi$
C)$64 \pi$
D)$1$
E)$16 \pi$
F)$4 \pi$
G)$\frac { 32 \pi } { 3 }$
H)$\frac { 64 \pi } { 3 }$

Question

An upper hemisphere is given by $z = \sqrt { 16 - x ^ { 2 } - y ^ { 2 } }$ with the density function $\rho ( x , y , z ) = z$ . Find the mass of the sphere.
A) $32 \pi$ 
B) $8 \pi$ 
C)$64 \pi$ 
D)$1$ 
E)$16 \pi$
F)$4 \pi$
G)$\frac { 32 \pi } { 3 }$ 
H)$\frac { 64 \pi } { 3 }$

Quizplus · Accepted Answer

The Answer of An upper hemisphere is given by $z = \sqrt { 16 - x ^ { 2 } - y ^ { 2 } }$ with the density function $\rho ( x , y , z ) = z$ . Find the mass of the sphere.
A) $32 \pi$ 
B) $8 \pi$ 
C)$64 \pi$ 
D)$1$ 
E)$16 \pi$
F)$4 \pi$
G)$\frac { 32 \pi } { 3 }$ 
H)$\frac { 64 \pi } { 3 }$

An Upper Hemisphere Is Given By z=16−x2−y2z = \sqrt { 16 - x ^ { 2 } - y ^ { 2 } }z=16−x2−y2​

An Upper Hemisphere Is Given By $z = \sqrt { 16 - x ^ { 2 } - y ^ { 2 } }$