Question

Keeping the height same , how many times the radius of the given cylinder should be made to get the cylinder of double the volume of given cylinder?

Answer 1

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Answer 2

Volume of cylinder (V)= πr²h

keeping the height same

Let the new radius be R

∴new Volume(V')= πR²h

also (V)=2(V')

πr²h=2πR²h

r²=2R²

r=R√2  

∴the new radius should be √2 times the original radius.