Question

An ocean oil well is leaking oil into the ocean at a rate of 1 m3/hr resulting in an oil slick in the form of a circular
disk (like a quarter or dime). If the slick remains in the shape of a disk with a constant thickness of 1/100 m as the disk expands, determine the rate at which the radius of the slick increases when the radius is 10 meters

Answer 1

let the radius of the disc be r m
V = πr^2 (1/00)

dV/dt = (π/50) r dr/dt

when r = 10
1 = (π/50)(10) dr/dt
dr/dt = 5/π m/hr