Question

Oil spills out of a tanker at the rate of 90 gallon per minute. The oil spreads in a circle with a

thickness of 1/8 in. Determine the rate at which the radius of the spill is increasing when the
radius reaches 100 feet.

Answer 1

(a) If A is the area of a circle with radius and the circle expands as time passes, find dA/dt in terms of dr/dt (b) Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spills increases at a constant rate of 1m/s, how fast is the area of the spill increasing when the radius is 30m