Its a solar cell. Photo voltaic Cell is also known as a solar cell.
I think it is there is no change in the energy's sunlight
Answer:
![W=17085KJ](https://tex.z-dn.net/?f=W%3D17085KJ)
Explanation:
From the question we are told that:
Height ![H=16m](https://tex.z-dn.net/?f=H%3D16m)
Radius ![R=3](https://tex.z-dn.net/?f=R%3D3)
Height of water ![H_w=9m](https://tex.z-dn.net/?f=H_w%3D9m)
Gravity ![g=9.8m/s](https://tex.z-dn.net/?f=g%3D9.8m%2Fs)
Density of water ![\rho=1000kg/m^3](https://tex.z-dn.net/?f=%5Crho%3D1000kg%2Fm%5E3)
Generally the equation for Volume of water is mathematically given by
![dv=\pi*r^2dy](https://tex.z-dn.net/?f=dv%3D%5Cpi%2Ar%5E2dy)
![dv=\frac{\piR^2}{H^2}(H-y)^2dy](https://tex.z-dn.net/?f=dv%3D%5Cfrac%7B%5CpiR%5E2%7D%7BH%5E2%7D%28H-y%29%5E2dy)
Where
y is a random height taken to define dv
Generally the equation for Work done to pump water is mathematically given by
![dw=(pdv)g (H-y)](https://tex.z-dn.net/?f=dw%3D%28pdv%29g%20%28H-y%29)
Substituting dv
![dw=(p(=\frac{\piR^2}{H^2}(H-y)^2dy))g (H-y)](https://tex.z-dn.net/?f=dw%3D%28p%28%3D%5Cfrac%7B%5CpiR%5E2%7D%7BH%5E2%7D%28H-y%29%5E2dy%29%29g%20%28H-y%29)
![dw=\frac{\rho*g*R^2}{H^2}(H-y)^3dy](https://tex.z-dn.net/?f=dw%3D%5Cfrac%7B%5Crho%2Ag%2AR%5E2%7D%7BH%5E2%7D%28H-y%29%5E3dy)
Therefore
![W=\int dw](https://tex.z-dn.net/?f=W%3D%5Cint%20dw)
![W=\int(\frac{\rho*g*R^2}{H^2}(H-y)^3)dy](https://tex.z-dn.net/?f=W%3D%5Cint%28%5Cfrac%7B%5Crho%2Ag%2AR%5E2%7D%7BH%5E2%7D%28H-y%29%5E3%29dy)
![W=\rho*g*R^2}{H^2}\int((H-y)^3)dy)](https://tex.z-dn.net/?f=W%3D%5Crho%2Ag%2AR%5E2%7D%7BH%5E2%7D%5Cint%28%28H-y%29%5E3%29dy%29)
![W=\frac{1000*9.8*3.142*3^2}{9^2}[((9-y)^3)}^9_0](https://tex.z-dn.net/?f=W%3D%5Cfrac%7B1000%2A9.8%2A3.142%2A3%5E2%7D%7B9%5E2%7D%5B%28%289-y%29%5E3%29%7D%5E9_0)
![W=3420.84*0.25[2401-65536]](https://tex.z-dn.net/?f=W%3D3420.84%2A0.25%5B2401-65536%5D)
![W=17084965.5J](https://tex.z-dn.net/?f=W%3D17084965.5J)
![W=17085KJ](https://tex.z-dn.net/?f=W%3D17085KJ)
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