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Find the moment of inertia of a right circular cone of base radius 1 and height 1 about an axis through the vertex parallel to the base. (Take $\delta=1$ )

$\frac{\pi}{4}$

Calculus 3

Chapter 15

Multiple Integrals

Section 7

Triple Integrals in Cylindrical and Spherical Coordinates

Johns Hopkins University

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Campbell University

Boston College

Lectures

04:18

In mathematics, an integral assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data. Integration is one of the two main operations of calculus, with its inverse operation, differentiation, being the other. The area above the x-axis adds to the total.

26:18

In mathematics, a double integral is an integral where the integrand is a function of two variables, and the integral is taken over some region in the Euclidean plane.

08:45

Find the moment of inertia…

05:48

Moment of inertia of solid…

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08:30

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01:03

All right, It's over. The following We have a cold here. Eggs. Why? See kun white one Meridia swarm. So something like that. These where he's, uh, symmetry with respect to from c u Want to complete their moment. Ah, about, uh and you know this your axes, we'll see the sea access so we don't need to integrate it. Rygel, these vision g, we need to make the integral far squared over Birdy. What you mean necessity for you to be one s o here. Ah, well, what exists the height? That's well, you have the radius. One work are, uh, one for Z. I'm, uh, but he's he's buying you Is value here, z people to one on the radio is also one. So the relation is gonna be that No, the real used to go to see, uh, she would need to make our c people from are to one. So you do, uh, well, being true, I should be if we're gonna make, uh, respect to their eyes all the way around here to defy hold, turn to buy. Um, so that is Sarah. You Vera. Um, but it goes from zero 21 Our dean z is gonna go from are up to one. You are born. Thanks for the sea. And then we have our volume element for the moment of inertia. He have to do times r squared. That's what we have to do it. So do it Z thing Go see, is just, uh see. So that volunteer meeting, uh, one on our hoagie You want one minus r to you? That factor to have being to be from zero to buy, you're up one one minus Liar. Well, I'm sorr cube are so so these would be during general. So the into go our cube miners integral to fire to the fore. So this will be the internal, these one you saw? No, I do the fourth floor into along these anus under the four or five my fight so that between 10 the 14 my nose, my zero, my years of that cereal. So there's a view on the fourth line of work which people tool to these people to darkness. My assumption is that so by minus four over for I'm sorry. Five Monday, and, uh, well, this would be Daddy Trilby. Turn to the angel from Dubai. Well, well, this is one one over or it was five, huh? He said. I said I would be just through by Over. Or there's five of these two concerts went through there. No, If I were 10 why were two teams fight? So that's what the that should be, these moment of inertia you.

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