Use cylindrical or spherical coordinates, whichever seems more appropriate.
Find the volume V and centroid of the solid E that lies above the cone z=sqrt(x^(2)+y^(2)) and below the sphere x^(2)+y^(2)+z^(2)=81.
V=
(ar{x} (,)/(b)ar (y)(,)/(b)ar (z))=(â—»)
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Use cylindrical or spherical coordinates,whichever seems more appropriate
Find the volume V and centroid of the solid E that lies above the cone z = 2 + y2 and below the sphere 2 + y2 + z2 = 81.
Xy,
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