SOLUTION: A sphere is inscribed in a cube of length 5cm. Find the difference between the volume of the cube and the sphere.

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Question 475847: A sphere is inscribed in a cube of length 5cm. Find the difference between the volume of the cube and the sphere.
Answer by stanbon(57352) About Me  (Show Source):
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A sphere is inscribed in a cube of length 5cm. Find the difference between the volume of the cube and the sphere.
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Volume of the cube is 5^3 = 125 cm^3
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radius of the sphere = 5/2 cm
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Volume of the sphere = (4/3)pi^(5/2)^3
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Volume between the sphere and the cube = 125-[(4/3)*pi*(5/2)^3]
= 59.55 cm^3
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Cheers,
Stan H.