Question

water is flowing at the rate of 5 km per hour through a pipe of diameter 14cm into a rectangular tank which is 50 long and 44 m wide. Determine the time in which the level of water tank will rise by 7 cm

Answer 1

Convert all to metres:

5 km = 5000 m

14 cm = 0.14 m

7 cm = 0.07 m

Find the radius:

Radius = Diameter ÷ 2

Radius = 0.14 ÷ 2 = 0.07 m

Find the amount of water that flowed out in an hour:

Volume = πr²h

Volume = π (0.07)² (5000) = 77 m³ per hour

Find the amount of water needed in the tank:

Volume = Length x Breadth x Height

Volume = 50 x 44 x 0.07 = 154 m³

Find the number of hours needed:

Number of hours = 154 ÷ 77 = 2 hours

Answer: It takes 2 hours to fill up the tank to rise by 7 cm

Answer 2

Answer:

Your step by step explanation is here

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