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.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 27E: The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch...
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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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