Find the volume of the indicated region. the region bounded above by the sphere x2+y2+z2=36   and below by the cone z=square root of x2+y2  . Using Spherical coordinate may simplify the computation. Here another way to express the cone will be φ = pi/4 . We did very similar problem in the class

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the volume of the indicated region.

the region bounded above by the sphere x2+y2+z2=36   and below by the cone z=square root of x2+y2  . Using Spherical coordinate may simplify the computation. Here another way to express the cone will be φ = pi/4 . We did very similar problem in the class.
  a)
72π(2 -square root of 3 )
  b)
54π(2 - square root of 3)
  c)
54π(2 - square root of 2 )
  d)
72π(2 - square root of 2)
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