A swimming pool is 25 ft wide, 40 ft long, 3 ft deep at one end and 9 ft deep at the other end. If water is pumped into the pool at the rate of 10 cubic feet/min, how fast is the water level rising when it is 4 ft deep at the deep end?
1 Answer
From the given information we can calculate the ratio
We are given
The Volume of water in the pool is given by the formula
and the formula for the Volume of water can be rewritten as
or
The rate of change in depth of the water per unit of time is
We are told
So when the water is 4 feet deep (unfortunately I labelled this