ICSE Class 9 Answered
if a sphere is inscribed under acube then proove that volume of cube to the value of sphere is 6:22/7
Asked by mahikumaribhagat | 13 Jan, 2019, 01:30: PM
Expert Answer
Let a be the side of cube. Volume of cube = a³ .........................(1)
if a sphere is inscribed in a cube of radius a, then its radius is a/2.
Volume of the sphere = (4/3)π(a/2)³ = (1/6)πa³ ............................(2)
volume of cube : Volume of sphere = a³ : (1/6)πa³ = 6:π = 6 : (22/7)
Answered by Thiyagarajan K | 13 Jan, 2019, 07:19: PM
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