Answer:
Work done = 2218.97 kJ
Explanation:
Work = Force x Displacement.
Force = Weight of water.
Weight of water = Mass of water x Acceleration due to gravity.
Mass of water = Volume of water x Density of water.
Volume of water = Base area of swimming pool x Depth of water.
Base area of swimming pool
[tex] = \frac{\pi {d}^{2} }{4} = \frac{\pi \times \: {8}^{2} }{4} = 50.27 {m}^{2} [/tex]
Depth of water = 1.5 m
Volume of water
[tex]= 50.27 \times1.5 = 75.40 {m}^{2} [/tex]
Mass of water = 75.40 x 1000 = 75400 kg
Weight of water = 75400 x 9.81 = 739656 N
Work done = 739656 x 3 = 2218.97 kJ
