Answer
$\frac{1}{3}\%$
Work Step by Step
Step 1. Given $V=\pi h^3$, we have $dV=3\pi h^2dh$
Step 2. Percentage: $\frac{dV}{V}=\frac{3\pi h^2dh}{\pi h^3}=\frac{3dh}{ h}$
Step 3. Since $\frac{dV}{V}=1\%$, we have $\frac{3dh}{ h}=1\%$ and $\frac{dh}{ h}=\frac{1}{3}\%$
