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A rectangular swimming pool full of water is $16.0 \mathrm{ft}$ wide, $40.0 \mathrm{ft}$ long, and $5.00 \mathrm{ft}$ deep. Find the work done in pumping the water from the pool to a level $2.00 \mathrm{ft}$ above the top of the pool.

Calculus 2 / BC

Chapter 26

Applications of Integration

Section 6

Other Applications

Oregon State University

Harvey Mudd College

Baylor University

University of Michigan - Ann Arbor

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

04:15

How much work is required …

02:18

For the following exercise…

01:10

A 20 foot by 10 foot recta…

03:14

A rectangular reflecting p…

07:50

Pumping Water A rectangula…

03:01

The base of a rectangular …

02:19

03:16

Pumping Water A cylindrica…

03:41

[T] Find the work required…

02:21

Solve each problem. A …

right. So the cylinder can be divided into then silent dance lessons of thickness called D. X. So we can calculate the work done by a force which is the finest the product of the force and the distance to reach. The force acts. So work done. This is equal to the integral of F. Of X. Dx. Yeah. All right. Okay. No search. Mhm. You know. Yeah, no F. Of X. Is the force and the limits and B or the initial and final points where the forces acting. Yeah. So the force acting on the slice of water, thickness. The eggs. Uh huh. True. Is F. Of X. Is equal to pi R squared times D. X. Yes, times K. Yeah. So the Radius R. is equal to three ft. Yeah. In the density of the water seven. That's 62.4. Yes. Yeah. Yeah. Yes. Yes. Service. Thanks something reason. So then FF access 62.4 pi times three squared the X. Sure. That's equal to 1763. All right .42 DX. No. Right. So work done From the integral from 0 to 10. This 1763 0.42 Times 10 -X. Dx. Right. Which? Mhm mm. Okay. Yes. So that's equal to stop. So Catholics 8000 sorry, 88171. Right? Oh

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