the surface of the water is a circle of diameter 5m, so its area is
25π/4 m^2
Since it takes 4 hrs to fill the 1m, pool, the water comes in at a rate of
25π/16 m^3/hr
So, after t hours, the volume of water in the pool is
v(t) = 25π/16 t m^3
There's a question I've been having difficulty solving, and I would really appreciate it if you can explain to me how I can achieve the answer.
question:an above ground swimming pool in the shape of a cylinder, with diameter 5m, is filled at a constant rate to a depth of 1m. It takes 4h to fill the pool with a hose. Create an equation of a mathematical model for volume as a function of time.
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