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Mathematics 13 Online
OpenStudy (mythorius):

This is a bit confusing, is it J? http://prntscr.com/am6kzj

OpenStudy (mythorius):

If not then can someone explain exactly what it's asking?

OpenStudy (mathstudent55):

Look at the right sphere. The center of that sphere is point T. Clearly, point T is in the interior of the sphere. Ok so far?

OpenStudy (mythorius):

Mhm, go on.

OpenStudy (mythorius):

Ohhhhh It's asking which one is on the outside pretty much, right? That would be H

OpenStudy (mathstudent55):

Now look at segment TH. H is a point on the surface of the sphere. T is the center of the sphere. That makes segment TH a radius of the circle. Point J is on segment TH, on the radius, between T and H. Since point J is in on a radius of the circle but is not on the surface of the circle, point J is also an interior point of the sphere.

OpenStudy (mathstudent55):

So far we have seen that points T and J are interior points. Now let's look at the other points, F, G, and H. We already mentioned point H before. It lies on the surface of the sphere, so point H is not an interior point. The same is true of points F and G. They lie on the surface of the sphere. Points F and G are not interior points.

OpenStudy (mathstudent55):

You are correct. Of the choices, only point H is not an interior point.

OpenStudy (mythorius):

Alright, thank you for explaining, i wouldn't have understood if i was on my own xD

OpenStudy (mathstudent55):

You're welcome.

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