Solve the Problem $60.0 \mathrm{~mm}$ Find the Rate of Change of Surface Area with Cylindrical

Multiple Choice

Solve the problem.
-A balloon used in surgical procedures is cylindrical in shape. As it expands outward, assume that the length remains a constant $60.0 \mathrm{~mm}$ . Find the rate of change of surface area with respect to radius when the radius is $0.060 \mathrm{~mm}$ . (Answer can be left in terms of $\pi$ ) .

A) $60.24 \pi \mathrm{mm}^{2} / \mathrm{mm}$
B) $120.0 \pi \mathrm{mm}^{2} / \mathrm{mm}$
C) $60.12 \pi \mathrm{mm}^{2} / \mathrm{mm}$
D) $120.24 \pi \mathrm{mm}^{2} / \mathrm{mm}$