Solve the Problem $90.0 \mathrm{~mm}$ 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 $90.0 \mathrm{~mm}$ . Find the rate of change of surface area with respect to radius when the radius is $0.090 \mathrm{~mm}$ . (Answer can be left in terms of $\pi$ ) .

A) $180.0 \pi \mathrm{mm}^{2} / \mathrm{mm}$
B) $180.36 \pi \mathrm{mm}^{2} / \mathrm{mm}$
C) $90.18 \pi \mathrm{mm}^{2} / \mathrm{mm}$
D) $90.36 \pi \mathrm{mm}^{2} / \mathrm{mm}$