If the radius of a sphere is measured as $7 \: m$ with an error of $0.02 \: m$, then find the approximate error in calculating its volume.

Question

$\begin{array}{1 1} (A)\;3.90 \pi m^3 \\ (B)\;3.92\;\pi m^3 \\(C)\;3.94\; \pi\; m^3 \\ (D)\;3.9\;\pi m^3 \end{array}$