1. (6413 #4 p. 351) The cross section of a large tank is a trapezoid. The short side of the trapezoid is 12 feet long and is the top of the tank. The long side of the trapezoid is 18 feet and is the bottom of the tank. The two sloping sides of the trapezoid are both 5 feet long. The tank itself is 14 feet long and is full of water with a density of 62.5 pounds per cubic foot. Setup, but do not solve, an integral which will give the work done in pumping all the water to a level 5 feet above the top of the tank. The amount of work done is 401,250 foot-pounds.
1. (6413 #4 p. 351) The cross section of a large tank is a trapezoid. The short side of the trapezoid is 12 feet long and is the top of the tank. The long side of the trapezoid is 18 feet and is the bottom of the tank. The two sloping sides of the trapezoid are both 5 feet long. The tank itself is 14 feet long and is full of water with a density of 62.5 pounds per cubic foot. Setup, but do not solve, an integral which will give the work done in pumping all the water to a level 5 feet above the top of the tank. The amount of work done is 401,250 foot-pounds.
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter62: Volumes Of Prisms And Cylinders
Section: Chapter Questions
Problem 38A: A copper casting is in the shape of a prism with an equilateral triangle base. The length of each...
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1. (6413 #4 p. 351) The cross section of a large tank is a trapezoid. The short side of the trapezoid
is 12 feet long and is the top of the tank. The long side of the trapezoid is 18 feet and is the bottom
of the tank. The two sloping sides of the trapezoid are both 5 feet long. The tank itself is 14 feet
long and is full of water with a density of 62.5 pounds per cubic foot. Setup, but do not solve, an
integral which will give the work done in pumping all the water to a level 5 feet above the top of the
tank. The amount of work done is 401,250 foot-pounds.
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