Solve the Problem $2.64 \mathrm {~cm} ^ { 3 } / \mathrm { sec }$

Multiple Choice

Solve the problem.
-The radius r and height h of a cylinder are changing with time. At the instant in question, r = 2 cm, h = 6 cm, dr/dt = 0.03 cm/sec and dh/dt = -0.03 cm/sec. At what rate is the cylinder's volume changing at that instant?

A) $2.64 \mathrm {~cm} ^ { 3 } / \mathrm { sec }$
B) $0.75 \mathrm {~cm} ^ { 3 } / \mathrm { sec }$
C) $0.94 \mathrm {~cm} ^ { 3 } / \mathrm { sec }$
D) $1.88 \mathrm {~cm} ^ { 3 } / \mathrm { sec }$