Question

3. Find the volume of the solid in the first octant that lies above the cone z = 13(x+ + y) and inside the sphere x2 + y2 + y
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Answer #1

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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