It would intersect the bottom cone there and it would intersect the top cone over there.

Cone

You take a sphere, in three dimensions, you rotate around the center of the sphere, and all those rotations leave the sphere alone.

So this is a cone.

like an ellipse.

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So that's my ellipse.

I'm drawing it in such a way that it only intersects this bottom cone and the surface of the plane is parallel to the side of this top cone.

That's an ellipse.

You have now plotted this ellipse.

And this ellipse is going to look something like

But that's where the water is in this cone.

This would be intersection of the plane and the bottom cone.

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Uruguay (on behalf of MERCOSUR)

Select Ellipsoid Model

They're both this ellipse.

The ellipse is going to be taller and skinnier.

That's the center of my ellipse.

Volcanic cones are among the simplest volcanic landforms.

What is the volume of water that I put in the cone?

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And it's easy to draw that ellipse.

We went kind of a quarter of the way around the ellipse.

Went halfway around the ellipse.

They're the circle, the ellipse, the parabola, and the hyperbola.

Let me do an ellipse in another color.

So an ellipse could be like that.

Let's say the ellipse looks like that.

Let me draw the ellipse first.

So our new ellipse is going to look something like that.

And they're symmetric around the center of the ellipse.

So let me take another arbitrary point on this ellipse.

Which is the entire major diameter of this ellipse.

The ellipse is symmetric around the y axis.

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You lose the information about where our particle is as it's rotating around the ellipse or how fast it's rotating around the ellipse.

I went by the field of the sluggard, by the vineyard of the man void of understanding

I went by the field of the slothful, and by the vineyard of the man void of understanding

So this tells me that we're going to be dealing with an ellipse.

And remember I said it's going to be an ellipse.

And you say, oh, this isn't the standard formula for an ellipse.

And now we're ready to draw this ellipse.

We go back to the beginning part of our ellipse.

You know what an ellipse looks like.