Find the volume common to two spheres.
Answer to Problem 49E
The volume common to two spheres is
Explanation of Solution
Given information: Given two spheres.
Calculation:
Side view of one sphere centered at
Can use disks rotated about the
Because of symmetry integrate from
The circle on the left is given
The circle on the right is
If integrate from
Then only need the left circle equation which looks simpler.
Solve the left circle equation for
Treat
Thus, the volume of the sphere is
Chapter 6 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
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