First timer here,
So I have a problem with an oil slick in the form of a circle. I know the rate at which a ruptured pipe pumps oil(gallons per minute), the thickness of the oil on top and the number of days for which spilled oil covers the area. I need volume of oil on top of the water(in galls) and spilled area (in km) after each day.
Example of the known data
-> pump rate: 30 gallons/min, -> thickness: 0.5cm -> number of days: 55
dV/dt = 30 g/min ??, h = 0.5cm
Is this right:
I take the cylinder Volume formula as
V = B*h where
B = V / h
B = 30 * 3785.412(cubic centimeter) * 60(min/h) * 24(hours/day) * 55(days) etc.
From here I take that
B = r^2 * PI ->
r = sqrt(B/PI) to get the radius and now I'm stuck.
Am I right so far; it'd be nice if you could help in detail since I'm so far away from my high school calculus days. Thank you.