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The radius of a cylinder is increased by 120% and its height is decreased by 40%. What is the percentage increase in its volume?
Answer & Solution
Correct Answer:
Option
A
\[\begin{array}{*{20}{c}}
{}&{{\text{Before}}}&{}&{{\text{After}}}&{} \\
{{\text{Radius}} \to }&5&:&{11}&{120\% \to \frac{{ + 6}}{5}} \\
{{\text{Height}} \to }&5&:&3&{40\% \to \frac{{ - 2}}{5}} \\
{{\text{Volume}} \to }&{{5^2} \times 5}&:&{{{11}^2} \times 3}&{}
\end{array}\]

$$\% \,{\text{Increase}} \Rightarrow \frac{{238}}{{125}} \times 100 = 190.4\% $$

$$\% \,{\text{Increase}} \Rightarrow \frac{{238}}{{125}} \times 100 = 190.4\% $$
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