Choose the One Alternative That Best Completes the Statement or Answers

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
-The function $\mathrm { V } ( \mathrm { r } ) = 4 \pi \mathrm { r } ^ { 2 }$ describes the volume of a right circular cylinder of height 4 feet and radius $\mathrm { r }$ feet. Find the instantaneous rate of change of the volume with respect to the radius when $r = 11$ . Leave answer in terms of $\pi$

A) $8 \pi$ cubic feet per feet
B) $44 \pi$ cubic feet per feet
C) $22 \pi$ cubic feet per feet
D) $88 \pi$ cubic feet per feet