The Solid in the First Octant Bounded by the Sphere

question 58

Essay

The solid in the first octant bounded by the sphere above, by the cone below, and by the planes and on the side, has a density .
Set up the integral for the mass of the solid
A) in rectangular coordinates.
B) in cylindrical coordinates.
C) in spherical coordinates.

• A) in rectangular coordinates.
• B) in cylindrical coordinates.
• C) in spherical coordinates.

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