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A tank is full of water. Find the work required t…

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Problem 24 Hard Difficulty

A tank is full of water. Find the work required to pump the water out of the spout. In Exercises 25 and 26 use the fact that water weighs $ 62.5 lb/ft^3 $.

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Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 6

Applications of Integration

Section 4

Work

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Video Transcript

So here we have a spare tank with little pipe. The tank has really three. And, uh, I think we have a things last year and the distance between the slice and the center of the ball. That three minus way. Here is a Y axis, that's why so this part is always three months more in this part. College are mhm, So Capital R is the radius of the ball and small arts radius of the the thin slice. Small articles to buy possible. The staggering theorem is square with three square the miners from X y squared. So which is equals to square with 61 months? What's where and the volume of this thing slice equals two. Why are squaring so five times? Six y minus y squared? The math was L. A. Does he think of this? Thanks. Zero is really seven months, and we're integrating over our access network. Done. It's different. That's where we have to do

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