# Find the volume of the solid that lies inside both of the spheres? #x^2 + y^2 + z^2 + 4x − 2y + 4z + 5 = 0# & #x^2 + y^2 + z^2 = 4#

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#### Explanation

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Given the sphere:

To obtain the form

The standard equation of the first sphere is:

The center is

The standard equation of second sphere is:

The center is

The distance between the two centers is:

This the same volume as between the two spheres:

I found equations for this special case where

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