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Question

5. Consider the volume of the two solids lying

between the spheres x² + y² + z² = 4 and

x² + y² + z² = 16 and inside the cone

z² = x² + y².

(5 points each)

a) Set up an integral that will yield the volume of the

solids (you may use symmetry).

b) Evaluate your integral.

0

y

0

X

Fig: 1