In this video I go over another example on calculating work using integrals and solve for the amount of work required in pumping water out of an inverted circular cone.

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Integrals and Work: Example 4 - Water Tank

Example:

A tank has the shape of an inverted circular cone with height 10 m and base radius 4 m. It is filled with water to a height of 8 m. Find the work required to empty the tank by pumping all of the water to the top of the tank. (The density of water is 1000 kg/m³)

Solution: