Mathematics, 25.07.2019 02:30, Kathryn014
Use spherical coordinates to find the volume of the region that lies outside the cone z = p x 2 + y 2 but inside the sphere x 2 + y 2 + z 2 = 2. write the answer as an exact answer, which should involve π and √ 2. do not round or use a calculator.
Answers: 2
(i.e. the upper half of the infinite cone given by 
). Take
) is
and 
should be obvious. The lower limit on 
is obtained by first determining the intersection of the cone and sphere lies in the cylinder 
. The distance between the central axis of the cone and this intersection is 1. The sphere has radius 
. Then 
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Use spherical coordinates to find the volume of the region that lies outside the cone z = p x 2 + y...
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