PLEASE HELP!!! A valve in a full 6000 gallon water tank is slowly opening. Water flows out of the tank through the valve. The flow rate in gallons per hour is given by the function f(t)=300 t^2 where t is in minutes.
How much water flows out of the tank the first 7 minutes?
How many minutes does it take for the tank to be completely empty?

Question

PLEASE HELP!!! A valve in a full 6000 gallon water tank is slowly opening. Water flows out of the tank through the valve. The flow rate in gallons per hour is given by the function f(t)=300 t^2 where t is in minutes.
How much water flows out of the tank the first 7 minutes?
How many minutes does it take for the tank to be completely empty?

ranga · Answer

Integrate f(t) over the limits t = 0 and t = 7

For the second question integrate over t = 0 and t = T and equate it to 6000 and solve for T.

anonymous · Answer

can you work it out?