A tank is full of water when a valve at the bottom of the tank is opened. The equation $\displaystyle {V}={134}{\left({208}-{t}\right)}^{{2}}$ gives the volume of water in the tank, in cubic meters, after $\displaystyle {t}$ 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 $\displaystyle \frac{{{d}{V}}}{{{\left.{d}{t}\right.}}}$
$\displaystyle \frac{{{d}{V}}}{{{\left.{d}{t}\right.}}}=$Preview Question 6 Part 3 of 6  

What is the flow rate after 3 hours? Select an answer cubic meters per hour hour meters per hour cubic meters

When is the water flowing out of the tank the fastest?
$\displaystyle {t}=$ hours