An oil storage tank ruptures at time t = 0 and oil leaks from the tank at a rate of r(t) = 110e−0.05t liters per minute. How much oil leaks out during the first hour? (Round your answer to the nearest liter.)

Water flows from the bottom of a storage tank at a rate of r(t) = 300 − 6t liters per minute, where 0 ≤ t ≤ 50. Find the amount of water that flows from the tank during the first 30 minutes.

Oil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and values of the rate at two hour time intervals are shown in the table. Find lower and upper estimates for the total amount of oil that leaked out.V ≈ L (lower estimate)V ≈ L (upper estimate)t (h) 0 2 4 6 8 10r(t) (L/h) 8.7 7.9 6.7 6.2 5.7 5.1

An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 4 ft long with a diameter of 2.2 ft. Suppose oil is drained at a rate of 2.3 ft3 per minute. If the tank starts completely full, how many minutes will it take to empty the tank?Use the value 3.14 for π, and round your answer to the nearest minute. Do not round any intermediate computations.

Three filling pipes, R, S and T, together, can fill an empty tank in two hours. S can fill the tank four times as fast as T. Initially, R alone is opened and after exactly x hours, it is closed and immediately S and T are opened together. The tank is full after exactly another y hours. If the tank was filled in a total of 4 hours, and x ≠ y, find the time (in hours) that T alone would take to fill the tank.6201224

An industrial cylindrical water tank has a radius of r meters and a height of h meters, where h is twice the radius. When the tank is full, its water level decreases at a rate of 0.25 meters per hour due to usage. After 4 hours of usage, what is the volume of water remaining in the tank in terms of r?