7.6
1.
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2.
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3.
(a) Let the be density. Then
constant.
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(b)
By symmetry,
.Let
be the density.
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(c)
The right circular cone with the radius
and the height
is expressed by
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(e)
To evaluate the triple interal, project onto the appropriate axes plane.Here project
to
plane.Using V-simple,
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(f) The density is proportional to the distance from the origin. Then,
.Also,the mass
of
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By the symmetry,
.Thus
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