Answered: A hemispherical tank of radius 6 feet…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A pyramid of height 500 ft has a square base 700 ft by 700 ft. Find the area A at height h. A(h) = If the rock used to build the pyramid has a weight-density of approximately w = 100 lb/ft3, how much work (in ft-lb) did it take to lift all the rock? Assume there were 10,000 workers each working 10 hours a day, 5 days a week, 50 weeks a year. If the workers, on average, lifted ten 100 lb rocks 2 ft/hr, how long (in months) did it take to build the pyramid
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n the mid-20th century, engineers constructed a series of canals to move irrigation water from water sources to farming communities throughout the western United States. The volume of water a canal an move is partially dependent on its cross-sectional area. Suppose a canal is trapezoidal, 35.0 ft across the top and 15.0 ft across the bottom, with a planned depth of water of 10.0 ft as shown in the gure. Find the cross-sectional area of the canal when it is full (in ft). (Use the rules for working with measurements to give your answer to the appropriate accuracy and/or precision.) 35.0 ft 10.0 ft 15.0 ft

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A hemispherical tank of radius 6 feet is positioned as in the figure below. How much work is required to fill the tank fully with water through a hole in the base if the water source is at the base? Weight-density is 62.4 lb/ft3