Use the Total Differential to Estimate the Change in the Volume

Multiple Choice

Use the total differential to estimate the change in the volume of a cylinder, $V=\pi r^{2} h$ , if its radius changed from $5.00 \mathrm{~cm}$ to $5.03 \mathrm{~cm}$ and its height changed from $4.00 \mathrm{~cm}$ to $3.98 \mathrm{~cm}$ .

A) $\mathrm{dV}=1.96 \mathrm{~cm}^{2}$
B) $\mathrm{dV}=2.20 \mathrm{~cm}^{2}$
C) $\mathrm{dV}=2.07 \mathrm{~cm}^{2}$
D) $\mathrm{dV}=5.34 \mathrm{~cm}^{2}$