find the ratio of volume of a sphere to that of a cube whigh will fit inside the cube?
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volume of the sphere= 4/3πr³
volume of the cube= a³
Ratio = volume of the sphere : volume of the cube
=4/3πr³ : a³
=4/3πr³ / a³
=4/3πr³ / a³ [since, r = a/2]
=4/3π×(a/2)³ / a³
=4/3π×a³/8 / a³
=4/3×22/7×1/8
=11/21
volume of the cube= a³
Ratio = volume of the sphere : volume of the cube
=4/3πr³ : a³
=4/3πr³ / a³
=4/3πr³ / a³ [since, r = a/2]
=4/3π×(a/2)³ / a³
=4/3π×a³/8 / a³
=4/3×22/7×1/8
=11/21
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