Let $\mathbf { F } ( x , y , z ) = 5 z \mathbf { k }$ and S is $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 16$ Using the Divergence Theorem, $\iint S$ $\mathbf { F } \bullet \mathbf { n } d S$ is

A) $\frac { 1280 \pi } { 7 }$
B) $- \frac { 1280 \pi } { 5 }$
C) $\frac { 1280 \pi } { 5 }$
D) $- \frac { 1280 \pi } { 3 }$
E) $\frac { 1280 \pi } { 3 }$

Question

Let $\mathbf { F } ( x , y , z ) = 5 z \mathbf { k }$ and S is $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 16$ Using the Divergence Theorem, $\iint S$ $\mathbf { F } \bullet \mathbf { n } d S$ is

A) $\frac { 1280 \pi } { 7 }$
B) $- \frac { 1280 \pi } { 5 }$
C) $\frac { 1280 \pi } { 5 }$
D) $- \frac { 1280 \pi } { 3 }$
E) $\frac { 1280 \pi } { 3 }$

Quizplus · Accepted Answer

The Answer of Let $\mathbf { F } ( x , y , z ) = 5 z \mathbf { k }$ and S is $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 16$ Using the Divergence Theorem, $\iint S$ $\mathbf { F } \bullet \mathbf { n } d S$ is

A) $\frac { 1280 \pi } { 7 }$
B) $- \frac { 1280 \pi } { 5 }$
C) $\frac { 1280 \pi } { 5 }$
D) $- \frac { 1280 \pi } { 3 }$
E) $\frac { 1280 \pi } { 3 }$

Let F(x,y,z)=5zk\mathbf { F } ( x , y , z ) = 5 z \mathbf { k }F(x,y,z)=5zk

Let $\mathbf { F } ( x , y , z ) = 5 z \mathbf { k }$