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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
answered-by-expert 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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