Solution:-
Given that
Consider the cone and
sphere
we have to find the volume of these region
using spherical coordinates
Thus E is defined by
Volume
[let
]
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3. Find the volume of the solid in the first octant that lies above the cone...
3. Find the volume of the solid in the first octant that lies above the cone z = 3(x + y) and inside the sphere x2 + y2 + z2 = 42. Use spherical coordinates.
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Use spherical coordinates. Find the volume of the solid that lies within the sphere x2 + y2 + z2 = 4, above the xy-plane, and below the cone z =√( x2 + y2)
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