Question

Mechanics are reboring a 6in deep cylinder to fit a new piston. The machine they are using increases the cylinders radius one-thousandths of an inch every 3 min. How rapidly is the cylinder volume increasing when the bore is 3.800 in.?

Answer 1

v = pi r^2 h
dv/dt = pi(2rh dr/dt + r^2 dh/dt)
now plug in your values to get dv/dt

Answer 2

119.3805208364121