Answer:

Step-by-step explanation:
The formula of a volume of a cylinder:

<em>r</em><em> - radius</em>
<em>H</em><em> - height</em>
<em />
We have a diameter <em>d = 8 → d = 2r → 2r = 8 → r = 4</em>
and <em>H = 12.</em>
<em></em>
Substitute:

Answer:
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The divergence theorem applies since

is a closed surface. We have

where

is the space enclosed by the surface

. The divergence of the given vector field is

So we can write the volume integral (in spherical coordinates) as