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InterviewSolution
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If by melting a solid hemisphere be made into a sphere, then what will be the ratio of their radii? |
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Answer» Let the radii of the hemisphere and the sphere be `r_(1)` unit and r_(2) uint respectively. ltbgt So, the volume of the hemisphere =`(2)/(3)pi_(1)^(3)` cubic.unit and the volume of the original sphere`(4)/(3)pir_(2)^(3)` cu.unit. As per question, `(2)/(3)pir_(1)^(3)=(4)/(3)pir_(2)^(3) "or," r_(1)^(3)/r_(1)^(3)=(4)/(2)=2 "or," (r_(1)/r_(2))^(3)=2 or, r_(1)/(r_(2))=root(3)(2)` `thereforer_(1):r_(2)=root(3)(2):1` Hence the required ratio =`root(3)(2):1` |
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