A tank has the shape of an inverted circular cone with height H=10m and base radius R=2m. The tank is initially full of water.
Find the work required to lower the height of the water level to h=6m by pumping the water to the top of the tank.
The density of water is r= 1000 kg/m3 and the acceleration due to gravity is g = 9.8 m/s2.
To find the work required to lower the height of the water level to h=6m we need to integrate the function W(x) that, for each 0 £ x £ H-h, represents the work needed to raise the layer that is x meters below the top to the top of the tank. so what is the shape of such layer? cone? I am not sure for that