A tank is full of water when a valve at the bottom of the tank is opened. The equation V=132(166-t)2 gives the volume of water in the tank, in cubic meters, after t hours. What is the volume of water in the tank before the valve is opened? cubic meters How long does it take the tank to fully empty? hours Find an equation for dV dt dv dt What is the flow rate after 22 hours? Select an answer # When is the water flowing out of the tank the fastest? hours Note: for this problem you can write c(at)2 as c(a-t) (a-t) and then use the product rule to find the derivative. The values of a and care constants which differs by version.