A cube of side 5 cm contain a sphere -Maths 9th

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Answer :

Each side of the cube (a) = 5 cm  Diameter of the sphere (2r) = 5 cm .  ∴ Radius of the sphere (r) = 5/2 cm Volume of the cube = a3 = 53 cm3 = 125 cm3  Volume of the sphere = 4/3 πr3  = 4/3 x 22/7 x (5/2)3  = 4/3 x 22/7 x 5/2 x 5/2 x 5/2 = 65.476 cm3  Volume of gap between cube and sphere = 125.000 cm3  - 65.476 cm3  = 59.524 cm3

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