Answers

2015-11-03T20:27:45+05:30
SA of a sphere = 4πr² 
SA of a cube =  6a² 

4πr² = 6a² 
r²/a² = 6 / 4π 
(r/a)² = 3 / 2π 
r/a = (3 / 2π)^0.5 

Volume of a sphere = 4/3 πr³ 
Volume of a cube = a³ 
Ratio of their volumes = (4/3 πr³)/a³ 
= (4π/3)(r³/a³) 
= (4π/3)(r/a)³ 
= (4π/3)(3 / 2π)^1.5 
= (2²π/3)[3^1.5 / (2^1.5)(π^1.5)] 
= √2√3 / √π 
= √(6/π) 
= 1.38 (Approx.)
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