Video: Identifying Possible Cross Sections of a Sphere

What two-dimensional shape could be created by slicing the sphere in the given figure?

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Video Transcript

What two-dimensional shape could be created by slicing the sphere in the given figure?

So this figure is a sphere. And a sphere in real life is a ball or a lime or a lemon; it’s round. It’s a sphere and a sphere is three dimensional. It has three dimensions: a length, a width, and a height. However, it says that we’re to slice this sphere and create a two-dimensional shape. And a two-dimensional shape only have two dimensions such as only a length and a width.

So if we were to slice this sphere, say cut a lemon in half or cut a basketball in half, what shape will it be creating? Let’s imagine that we’ll be slicing through this sphere horizontally, almost like taking a string and going directly through it. They are really soft. We would start with this much. And if we would keep going, it would look like this. And now, we’re almost completely through the ball, the sphere. And now, we will be completely done.

So what shape is this? Well, we’re kind of looking at it from an angle. If we would have taken this and looking directly above it at a shape, what shape would it have been? It would be a circle. It kinda of looks like an oval here. But that’s just because it’s on a flat screen.

So it would be wise maybe to try this for ourselves by taking a lemon and cutting it down the middle and then looking directly at the inside of the lemon and what shape would that have made. It was likely a circle.

So circle will be our final answer.

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