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Numerade Educator

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Problem 46 Easy Difficulty

Find the volume of the solid that lies inside both of the spheres
$$ x^2 + y^2 + z^2 + 4x -2y + 4z + 5 = 0 $$
and
$$ x^2 + y^2 + z^2 = 4 $$

Answer

$V=\frac{\pi}{12}(4 \cdot 2+3)(2 \cdot 2-3)^{2} \approx 2.88$

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