A Rectangular Swimming Pool 10 Ft Wide By 20 Ft Long And Of Uniform Depth Is Being Filled With Water. A. If T Is Elapsed Time, H Is The Height Of The Water, And V Is The Volume Of The Water, Find Equations Relating V To H And DV>dt To Dh>dt. B. At What Rate Is The Volume Of The Water Increasing If The Water Level Is Rising At 1/ 4 Ft>min? C. At What Rate Is The Water Level Rising If The Pool Is Filled At A Rate Of 10 Ft3>min?

A rectangular swimming pool 10 ft wide by 20 ft long and of uniform depth is being filled with water. a. If t is elapsed time, h is the height of the water, and V is the volume of the water, find equations relating V to h and dV>dt to dh>dt. b. At what rate is the volume of the water increasing if the water level is rising at 1/ 4 ft>min? c. At what rate is the water level rising if the pool is filled at a rate of 10 ft3>min?

- October 10, 2022 - Edwin Tunner

A rectangular swimming pool 10 ft wide by 20 ft long and of uniform depth is being filled with water.

a. If t is elapsed time, h is the height of the water, and V is the volume of the water, find equations relating V to h and dV>dt to dh>dt.

b. At what rate is the volume of the water increasing if the water level is rising at 1/ 4 ft>min?

c. At what rate is the water level rising if the pool is filled at a rate of 10 ft³>min?

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