Question 8, 6.7.37

Part 1 of 3

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HW Score: 0%, 0 of 89 points

O Points: 0 of 7

A cylindrical tank, shown to the right, has height 12 m and radius 2 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 3 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.

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2 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 ≤12, find the cross-sectional area A(y).

A(y) = (Type an exact answer, using as needed.)

12 m