Question

Keeping the height same how many times the radius of given cyclinder should be made to get a cyclinder having double the volume of original cyclinder.​

Answer 1

Answer :

• The new radius should be √2 times the original radius .

Step-by-step explanation :

Given :

• How many times the radius of given cyclinder should be made to get a cyclinder having double the volume of original cyclinder.

First we use the formula to find the volume of cylinder,

Volume of cylinder ( V ) = πr²h

keeping the height same

Now,

Let the new radius be R

Then, new Volume ( V') = πR²h

also ( V ) = 2 (V')

Volume of cylinder = Volume of new cylinder

πr²h = 2πR²h

r² = 2R²

r = R√2

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