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?A swimming pool is 20 ft wide, 40 ft long, 3 ft deep at the shallow end, and 9 ft deep
Chapter 3, Problem 30(choose chapter or problem)
A swimming pool is 20 ft wide, 40 ft long, 3 ft deep at the shallow end, and 9 ft deep at its deepest point. A cross-section is shown in the figure. If the pool is being filled at a rate of \(0.8 \ ft^3/min\), how fast is the water level rising when the depth at the deepest point is 5 ft?
Questions & Answers
QUESTION:
A swimming pool is 20 ft wide, 40 ft long, 3 ft deep at the shallow end, and 9 ft deep at its deepest point. A cross-section is shown in the figure. If the pool is being filled at a rate of \(0.8 \ ft^3/min\), how fast is the water level rising when the depth at the deepest point is 5 ft?
ANSWER:
Step 1 of 5
The volume of the swimming pool is given by,
The width of the pool is constant and is equal to .
Differentiate the volume equation with respect to .
…… (1)