A tank has the shape of an inverted circular cone with a height of 10 ft and a base radius of 4 feet. It is filled (with a magical liquid of weight density (or force density) p = (25/4pi(8^3)) lbs/ft^3) to a height of 8 ft. Find the work required to empty the tank by pumping all of the liquid to the top of the tank.
A tank has the shape of an inverted circular cone with a height of 10 ft and a base radius of 4 feet. It is filled (with a magical liquid of weight density (or force density) p = (25/4pi(8^3)) lbs/ft^3) to a height of 8 ft. Find the work required to empty the tank by pumping all of the liquid to the top of the tank.
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