Answer:
= 58,189,950J
Explanation:
Work done in pumping all the water:
Average height of the pool,
[tex]h = \frac{H + D}{2}[/tex]
[tex]h = \frac{8 + 5}{2} \\= 6.5[/tex]
Volume of water
[tex]V = \pi r^{2}h = \pi \times 6^{2}\times 5 \\= 565.5\ m^{3}[/tex]
Mass of water
[tex]m_{w} = \rho_{w} \times V\\ = 1000 \times 565.5\\= 565,500kg[/tex]
Work done is given by the potential energy of the water as
[tex]W = m_{w}gh \\= 565,500\times 9.8\times 6.5 \\\\= 58,189,950\ J[/tex]
