Steply

Slice a sphere through the center

Step by step, with the reason for every step · Cross sections · Geometry

Step by step

The question

Question: what shape is the cut, if we slice a sphere anywhere?

sphere, cut anywhere

A cross section is the flat face we see when we slice a solid.

cross section = the face of a cut

1 Look at the cut

Here is the sphere.

We slice it anywhere.

The red face is the cut.

2 Name the shape

Flat, the cut looks like this.

A sphere is round every way.

Every cut is a circle.

So it is a circle.

= cut: a circle

Careful!

Picture the flat face where the knife went through.

Careful: think of the flat face

3 Check

Let's check: cut an orange anywhere.

The face is always round.

So the answer is right!

a ball: round every way

Let's look back.

First: look at the cut.

Then: name the shape.

Last: check.

Answer
Careful: think of the flat face

Your turn

Try this one yourself, then check:

cone, cut parallel to the base
Show the answer
a circle

More from Cross sections

The whole lesson: Cross sections →