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For the following exercises, use the theorem of Pappus to determine the volume of the shape.Rotating $y=m x$ around the $y$ -axis between $x=0$ and $x=1$

$\frac{m \pi}{3}$

Calculus 2 / BC

Chapter 6

Applications of Integration

Section 6

Moments and Centers of Mass

Missouri State University

Harvey Mudd College

Idaho State University

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

02:04

For the following exercise…

08:06

02:59

Find the volume of the sha…

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03:10

03:17

03:02

01:28

04:11

02:16

listen well. The figure this is drawn on this. This is our X X is this is our So this is our ex existence is over. What? No. Well, drew this as this is why he was MX. And this becomes sorry blown out of this. And this point is our one Come on him on the center of months lies here. This is You want a country on DDE to him upon three. Because we know this points so far. This is Gino Command zero, this is one combine on DDE. This is eso minus one going in. Are that made this one? We have this point. So you really need to find the volume off the gun. First up on Ilia. Uh, cage eagles went about doing one in tow, so this is equal. Do came upon it. We can take this point. This is also a point which have been courting at that. Do you don't? Mm. So really off this triangle, ese. And I do no as a sink it off. Muss is, uh, Therefore, we can see the fact that is center of masses. A friendless extra bliss X tree, a bomb three end. Why wouldn't lous y two plus y three upon three. So this becomes, do you know, plus zero plus one upon today. On it is judo plus m last him 13 So we are in the center of months as one upon tree on DDE to one tree. No, The in distance day is Germond by the center of Mars which is the so called it Good radius one of 13 Does these equal to pi into one upon three people Do 2593 their food. Bye The to them off. Okay, Taboos we have They warned him off the going as we waas Really there is equal Do am I want doing do to fire 13 This is equal do in my country upset the falling on it is answer given problem.

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