The local youth center has installed a swimming pool. The pool is a right circular cylinder with a diameter of 30 feet and a height of 8 feet.

a. Find the volume of the currently empty pool.

b. Two hoses are used to fill the pool. Triple as many gallons of water per minute flow through one of the hoses as through the other. Both hoses had been on for 15 hours and had filled the pool to the 3 foot mark when the hose with the slower flow stopped working. The hose with the faster flow then finished filling the pool to the 8-foot mark. Graph the relationship between the time spent filling the pool and the height of the water in the pool.

This is what I got so far: V= TTr2 h

= T.52.P

= 1800 TT ft

[Cylinder][4ft]

<----->

30ft

I need them in details.