The volume of a cylinder of fixed height varies in direct proportion to the square of the base radius. How do you find the change in volume when the base radius is increased by 18%?

1 Answer
Shwetank Mauria
Dec 8, 2016

Volume increases by 39.24%

Explanation:

As the volume of a cylinder, say V, of fixed height varies in direct proportion to the square of the base radius, say r, we can write the relation as

Vpropr^2 and as r is increased by 18%

i.e. it increases from r to 118/100r or 1.18r,

Volume will increase by (1.18r)^2=1.3924r^2

and hence volume increases by 39.24%

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