A water tank is shaped like an inverted cone with height 6 m and base radius 1.5 m. a. If the tank is full, how much work is required to pump the water to the level of the top of the tank and out of the tank? b. Is it true that it takes half as much work to pump the water out of the tank when it is filled to half its depth as when it is full? Explain.
A water tank is shaped like an inverted cone with height 6 m and base radius 1.5 m. a. If the tank is full, how much work is required to pump the water to the level of the top of the tank and out of the tank? b. Is it true that it takes half as much work to pump the water out of the tank when it is filled to half its depth as when it is full? Explain.
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 13A: A vessel is in the shape of a right circular cone. This vessel contains liquid to a depth of 12.8...
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A water tank is shaped like an inverted cone with height 6 m and base radius 1.5 m.
a. If the tank is full, how much work is required to pump the water to the level of the top of the tank and out of the tank?
b. Is it true that it takes half as much work to pump the water out of the tank when it is filled to half its depth as when it is full? Explain.
Please leave answers in terms of p, g, and pi.
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