A cylinder is being filled such that the height of its contents is increasing at a rate of 5 cm /s. What is the rate of change of the volume if r = 3 and V = πr^2h?
-
V=πr^2h = 9πh because r^2 = 3^2 = 9
dV/dt = 9π * dh/dt = 9π * 5 cm/s = 45π cm^3
.
dV/dt = 9π * dh/dt = 9π * 5 cm/s = 45π cm^3
.