Solve the following problem providing clear explanations for

Solve the following problem providing clear explanations for each step for your work.

Jill has a swimming pool in her back yard. It is shaped like a rectangle and measures approximately 16.3 feet wide and 26.2 feet long. It is an average of 5 feet deep. during a few hot weeks during the summer, some water evaporates from the pool, and jill needs to add 8 inches of water to the depth of the pool, using her garden hose. Although her water pressure varies, the water flows through Jill\'s garden hose at an average rate of 10 gallons/minute

.             1. Convert the dimensions of the pool to meters. Round all meter measurements to one decimal place (nearest tenth of a meter).

              2. How many liters will Jill need to add to her pool to return the water level to its original depth? How many gallons of water is this?

              3. How long will Jill need to run the hose? Express your answer in hours and minutes.

Your conversion factors should be shown and follow the dimensional analysis format.

Thank you.

Solution

As 1 feet=0.3048 metres.

so, width = 16.3* 0.3048 = 4.96 metres

length =26.2*0.3048= 7.93 metres

height=5*0.3048=1.524 metres.

now as, volume = l*b*h =4.96 *7.93 *1.524 m^{3 =}59.94 m³.=59940 litres.

as water flows at 10 gallons/minute or.. 10*3.785=37.85 litres/minute.

so time taken will be =59940 / 37.85 =1584 minutes=26hrs 24 minutes.