A Cube of side 4cm contains …
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Naveen Sharma 7 years, 2 months ago
Ans. Side of Cube (a) = 4 cm
Volume of Cube = \(a^3 = 4 \times 4 \times 4 = 64 cm^3\)
As the Sphere touch the side of Cube
So, Diameter of Sphere = 4 cm
Radius of Sphere(r) = 4/2 = 2 cm
Volume of Sphere = \({4\over 3} \times \pi \times r^3 = {4\over 3} \times {22\over 7}\ \times 8 = {704\over 21} = 33.5 cm^3\)
Volume of Gap = Volume of Cube - Volume of Sphere
=> 64 - 33.5 = 30.5cm3
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