1. Satellite imagery showed that oil is being spilled continuously from a damaged oil rig in the ocean. The oil forms a film about 10-6 m thick on the surface on the ocean (it's not that it cannot be thinner, it's just the thinnest that can be seen from a satellite). (a) Assuming a roughly circular spill, find the volume V of the oil forming the film, if the radius of the spill is 1 km 103 m. (Hint: volume of a cylinder is wrh.) Convert the answer (in m) to gallons or liters, whichever units are more intuitive for you. y to exique evet un (b) The satellite imagery shows that when the radius of the spill was r(t) = 20 km, it had instantaneous growth rate 0.5 km/hour. Based on that, find the rate at which the rig spills the oil. (Don't forget to convert km to m.) Convert the answer to gallons or liters per second to put the answer into perspective. MIL (c) Assuming the same spill rate, how fast is radius going to grow when it reaches 30 km? (d) Assuming a constant spill rate, qualitatively describe how the growth rate r'(t) depends on the radius r. (No essays, one short sentence is enough.) There is a direct relationship between r and r'lt), one increases, so does the other ihod hore: they are obviously thicker at the