Problem 26 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 $.

Answer

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Video Transcript

for this problem with personal gather John tree off the tank. So from a sudden boo, we're gonna see a triangular with Hyde to be six. Anything's to be told this is a side of you aboard. Thank you. And the things we're gonna get it equation that this the segments or this lying said l. And it's simple, really. Why equals two, six or 12 X? So that means at 6 to 2 why, that's the equation of l. Anybody want volume by and horizontal slices and, like why I stands for the height from the bottom of the ice. Slice the water with sickness. Duguay. That's why I and the thickness is stolen. It's the right thing slice and the volume equals two the area times the thickness. So we're just given by 10 times two to why I was the other way. And the force exerting on this, if it hasn't going, is the world itself comes the weight's her unit one. So which is equals to, um, 20 white. I comes the way turns 62 point by which is even to one. So is it 250? Why I turns the other way. That's the force and for each slice, the business that's in the travel to get the job done is the eye with six months. Why I the total length to the heart of the tank in 666 feet So hands we're gonna set up. But we're really some its limits in And, uh, I go goes from zero to in as down the way Oops, this red, all things it's flowing in half here Just, uh, shelf 150 times, Boy comes all the way and we're gonna you about this ribbon some by its corresponding indigo so that 0 to 6 total height job 150 y times six minus. Warning recalled. That's the distances travel you Why and after one calculation gonna have 41 but comes 10 to 4 feeds.