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in Surface Areas And Volumes by (27.0k points)
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A cube of side 4 cm contains a sphere touching its side. Find the volume of the gap in between.

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Best answer

Volume of a cube = side3 

Volume of a sphere = \(\frac{4}{3}\)πr3 

Given, 

cube of side 4 cm contains a sphere touching its side 

Radius of the sphere = \(\frac{4}{2}\) = 2 cm 

Volume of the gap in between = 43 - \(\frac{4}{3}\)π × 23 

⇒ Volume of the gap in between = 30.48 cm3

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