The height of cylinder is deacrease at 0.3cm/s whereas its radius increase at the rate of 0.4cm/s.determine the rate of change of its volume if the radius and the height of the cylinder are 10 cm and 12 cm
V = π r^2 h
dV/dt = πr^2 dh/dt + 2πrh dr/dt
pluggin in the given:
dV/dt = π(10^2)(-.3) + 2π(10)(12).4
= ....