A swimming pool has the shape of a box with a base that measures 21 m by 15 m and a uniform depth of 3.1 m. How much work is

Question

A swimming pool has the shape of a box with a base that measures 21 m by 15 m and a uniform depth of 3.1 m. How much work is required to pump the water out of the pool when it is full? Use 1000 kg/m³ for the density of water and 9.8 m/s² for the acceleration due to gravity.
You may use the formula: W=∫ p g A(y) D(y) dy
Draw a y-axis in the vertical direction (parallel to gravity) and choose one corner of the bottom of the pool as the origin. For 0 ≤ y ≤3.1, find the cross-sectional area A(y).
A(y) = (Simplify your answer.)
Set up the integral that gives the work required to pump the water out of the pool. Use increasing limits of integration. Select the correct choice below and fill in the answer boxes to complete your choice.
(Type exact answers.)

Kunduz · Accepted Answer

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