The trunk of a tree is approximately cylindrical in shape and has a diameter of 1 m when height is 15 m. If the radius is increasing at 0.003 m per annum and the height is increasing at 0.4 m per annum, find the rate of increase of the volume of the trunk.
I got 0.145pi m^3/annum. but the answer in my text isn't the same as mine.
My work:
dV/dt=2pi(0.5) (0.003)(15)+pi(0.5)^2(1)(0.4)