A cylindrical tank, shown to the right, has height 8 m and radius 4 m. Suppose the water tank is half-full of water. Determine the work required to empty the tank by pumping the water to a level 6 m above the top of the tank. Use 1000 kg / m³ for the density of water and 9.8 m/s² for the acceleration due to gravity. 4 m Draw a y-axis in the vertical direction (parallel to gravity) and choose the center of the bottom of the tank as the origin. For 0≤ y ≤8, find the cross-sectional area A(y). A(y) = (Type an exact answer, using as needed.) 8 m

A cylindrical tank, shown to the right, has height 8 m and radius 4 m. Suppose the water tank is half-full of water. Determine the work required to empty the tank by pumping the water to a level 6 m above the top of the tank. Use 1000 kg / m³ for the density of water and 9.8 m/s² for the acceleration due to gravity. 4 m Draw a y-axis in the vertical direction (parallel to gravity) and choose the center of the bottom of the tank as the origin. For 0≤ y ≤8, find the cross-sectional area A(y). A(y) = (Type an exact answer, using as needed.) 8 m

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.CR: Review Exercises

Problem 14CR: a For the through in the shape of half-cylinder, find the volume of water it will hold Use 3.14 and...

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Question

A cylindrical tank, shown to the right, has height 8 m and radius 4 m. Suppose the water
tank is half-full of water. Determine the work required to empty the tank by pumping the
water to a level 6 m above the top of the tank. Use 1000 kg/m for the density of water
and 9.8 m/s² for the acceleration due to gravity.
3
4 m
Draw a y-axis in the vertical direction (parallel to gravity) and choose the center of the bottom of the tank as the
origin. For 0 ≤ y ≤8, find the cross-sectional area A(y).
A(y) =
(Type an exact answer, using as needed.)
8 m

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