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A water tank is in the shape of an inverted cone (the vertex of the cone is the bottom of the tank). The height of the tank is 4 feet and the radius at the top of the tank is 1 foot. The tank is full of water, which has a density 62.5 pounds per cubic foot. Set up, but do not evaluate, a definite integral which would compute the amount of work necessary to pump all of the water out of the tank through a spout located 2 feet higher than the top of the tank.

A water tank is in the shape of an inverted cone (the vertex of the cone is the bottom of the tank). The height of the tank is 4 feet and the radius at the top of the tank is 1 foot. The tank is full of water, which has a density 62.5 pounds per cubic foot. Set up, but do not evaluate, a definite integral which would compute the amount of work necessary to pump all of the water out of the tank through a spout located 2 feet higher than the top of the tank.

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 43AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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A water tank is in the shape of an inverted cone (the vertex of the cone is the bottom of the tank). The height of the tank is 4 feet and the radius at the top of the tank is 1 foot. The tank is full of water, which has a density 62.5 pounds per cubic foot. Set up, but do not evaluate, a definite integral which would compute the amount of work necessary to pump all of the water out of the tank through a spout located 2 feet higher than the top of the tank.
Transcribed Image Text:A water tank is in the shape of an inverted cone (the vertex of the cone is the bottom of the tank). The height of the tank is 4 feet and the radius at the top of the tank is 1 foot. The tank is full of water, which has a density 62.5 pounds per cubic foot. Set up, but do not evaluate, a definite integral which would compute the amount of work necessary to pump all of the water out of the tank through a spout located 2 feet higher than the top of the tank.
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