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A sphere and cube have the same surface area show that the ratio of the volume of the sphere to that of cube is √6 :√π

Posted by Sandeep Bansal 8 years, 9 months ago

CBSE > Class 09 > Mathematics

1 answers

Rashmi Bajpayee 8 years, 9 months ago

Given : 4πr² = 6a²

r²/a² = 6/4π

r/a = √6/2√π

Ratio of their volume = (4/3)πr³/a³

= (4π/3)(6/4π)(√6/2√™)

= √6/√π = √6 : √π

Hence proved.

2Thank You

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CBSE > Class 09 > Mathematics