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By what factor does the capacity of a me...

By what factor does the capacity of a metal sphere increase if its volume is tripied ?

Text Solution

Verified by Experts

As `V = (4)/(3) pi R^(3)`
`:. V prop R^(3) pr R prop V^(1//3)`
`:. (C_(2))/(C_(1)) = (R_(2))/(R_(1)) = ((V_(2))/(V_(1)))^(1//3)`
`:. C_(2) = C_(1) ((V_(2))/(V_(1)))^(1//3) = C_(1) (3)^(1//3) = 1.44 C_(1)`
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