A volume of two hemisphere are in the ratio 8: 27 .find the ratio of their radius
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According to question
V1 :V2 = 8:27
=> (4pi r1^3 /3 ) / (4pi r2^3 /3) = 8/27
=> r1^3 / r2^3 = 8/27
=> (r1/r2)^3 = 8/27
=> (r1/r2)^3 = (2/3)^3
=> r1/ r2 = 2/3
Required ratio = 2:3
V1 :V2 = 8:27
=> (4pi r1^3 /3 ) / (4pi r2^3 /3) = 8/27
=> r1^3 / r2^3 = 8/27
=> (r1/r2)^3 = 8/27
=> (r1/r2)^3 = (2/3)^3
=> r1/ r2 = 2/3
Required ratio = 2:3
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