Quantitative Aptitude :: Volume and Surface Area - Discussion

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Explanation:
Let x be the amount of increase.
The volume will increase by the same amount if the radius increased or the height is increased.
So, the effect on increasing height is equal to the effect on increasing the radius.
=> (22/7)*8*8*(3+x) = (22/7)*(8+x)*(8+x)*3
Solving the quadratic equation
we get the x = 0 or 16/3.
So, the possible increase would be by 16/3 inches.