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? Use 1000 kg/m³ for the density of water and 9.8 m/s² for the acceleration due to gravity. b. Is it true that it takes half as much work to pump all the water out of the tank when it is filled to half its depth as when it is full? Explain. a. Draw a y-axis in the vertical direction (parallel to gravity) and choose the bottom of the tank as the origin. For 0 sy≤ 12, find the cross-sectional area A(y) in term A(y)= (Simplify your answer. Type an exact answer using as needed. Use integers or fractions for any numbers in the expression)

Mathematics For Machine Technology
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ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 57AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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A water tank, shown to the right, is shaped like an inverted cone with height 12 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? Use 1000 kg/m³ for the density
of water and 9.8 m/s² for the acceleration due to gravity.
b. Is it true that it takes half as much work to pump all the water out of the tank when it is filled to half its depth as when it is full? Explain.
1.5 m
12 m
a. Draw a y-axis in the vertical direction (parallel to gravity) and choose the bottom of the tank as the origin. For 0 sy≤ 12, find the cross-sectional area A(y) in terms of y.
A(y) =
(Simplify your answer Tyne an exact answer using T as needed. Use integers or fractions for any numbers in the expression)
Transcribed Image Text:3 A water tank, shown to the right, is shaped like an inverted cone with height 12 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? Use 1000 kg/m³ for the density of water and 9.8 m/s² for the acceleration due to gravity. b. Is it true that it takes half as much work to pump all the water out of the tank when it is filled to half its depth as when it is full? Explain. 1.5 m 12 m a. Draw a y-axis in the vertical direction (parallel to gravity) and choose the bottom of the tank as the origin. For 0 sy≤ 12, find the cross-sectional area A(y) in terms of y. A(y) = (Simplify your answer Tyne an exact answer using T as needed. Use integers or fractions for any numbers in the expression)
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