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Calculation of volume by integration

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Let Q be the sphere: X^2 + Y^2 + Z^2 = a^2

a) Use CYLINDRICAL coordinates to set up the integral to calculate the volume of Q

b) Use SPHERICAL coordinates to set up the integral to calculate the volume of Q

c) Solve for Q using either a or b

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Solution Summary

Supplemented with diagrams , this step-by-step explanation of this complicated topic provides students with a clear perspective of triple integral under cylindrical and spherical coordinates.

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Please supply a step by step solution to the following problem in as much detail as feasable. Thank you.

Let Q be the sphere: X^2 + Y^2 + Z^2 = a^2

a) Use CYLINDRICAL ...

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