TS Police SI Mains 2018 Arithmetic and Reasoning

Question 94

By what percentage should the radius of a sphere be increased so that the volume increases by 200%?

Solution

Volume increases by 200% means the volume must becomes 3 times the original one 
Hence, V2 = 3*V1
(4/3)*(22/7)*(R2)*(R2)*(R2) = 3*(4/3)*(22/7)*(R1)*(R1)*(R1) 
R2 = $$\sqrt[\ 3]{3}$$ * R1 

Hence, percentage increase = ({[$$\sqrt[\ 3]{3}$$ * R1] - R1}/R1)*100 = $$\left(\sqrt[\ 3]{3}-\ 1\right)\cdot100$$


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