The volume of a cylinder of radius $r$ and height $h$ is $V=\pi r^2h$.
Calculate the percentage increase in $V$ if $r$ is increased by $3.1 \%$ and $h$ is increased by $1.3 \%$.
Hint: Use the linear approximation to show that $\frac{\Delta V}{V} \approx \frac{2\Delta r}{r}+\frac{\Delta h}{h}$

$\frac{\Delta V}{V}\times 100\%=$ $\%$

The volume of a certain cylinder $V$ is determined by measuring $r$ and $h$.
Which will lead to a greater error in $V$:

A. a $1\%$ error in $r$ is equivalent to a $1\%$ error in $h$
B. a $1\%$ error in $h$
C. a $1\%$ error in $r$