The height, $H$, in feet, of water in a cylindrical tank is given by $H(t)=1.5t$, where $t$ is time in hours. The volume of water in the tank when the height is $H$ feet is $V(H)=36\pi H$ cubic feet.

a) Find a formula for $V=f(t)$, the volume of water in the tank after $t$ hours.
$V=f(t)=$

b) What are the units of the inputs and the outputs of the function $V=f(t)$?
Input units: ? hours (time) feet (height of water) cubic feet (volume of water)
Output units: ? hours (time) feet (height of water) cubic feet (volume of water)

Hint: