Water is run at a constant rate of 1 ft3/min to fill a cylindrical tank of radius 1 ft and height 6 ft. Assuming that the tank is initially empty, make a conjecture about the average weight of the water in the tank over the time period required to fill it, and then check your conjecture by integrating. [Take the weight density of water to be 62.4 lb/ft³.] Carry out all calculations exactly then round the final answer to one decimal place. weightave = i lb

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 44AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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Water is run at a constant rate of 1 ft³/min to fill a cylindrical tank of radius 1 ft and height 6 ft. Assuming that the tank is initially
empty, make a conjecture about the average weight of the water in the tank over the time period required to fill it, and then check your
conjecture by integrating. [Take the weight density of water to be 62.4 lb/ft³.]
Carry out all calculations exactly then round the final answer to one decimal place.
weightave
=
lb
Transcribed Image Text:Water is run at a constant rate of 1 ft³/min to fill a cylindrical tank of radius 1 ft and height 6 ft. Assuming that the tank is initially empty, make a conjecture about the average weight of the water in the tank over the time period required to fill it, and then check your conjecture by integrating. [Take the weight density of water to be 62.4 lb/ft³.] Carry out all calculations exactly then round the final answer to one decimal place. weightave = lb
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