Answer
$16 cm^3$
Work Step by Step
Volume can be calculated as: $V=\pi r^2 h$
The differential form of the given function is:
$dV=(\dfrac{\partial V}{\partial r}) dr +( \dfrac{\partial V}{\partial h}) dh$
Write the partial derivatives of the given function.
$dV=V_r dr+V_h dh=[ 2 \pi r h] dr+[ \pi r^2] dh$
and
$dV=96 \times 3.14 \times 0.04 +16 \times 3.14 \times 0.08$
Thus, $dV \approx 16 cm^3$
