Let's cut spheres and cylinders with a plane!

Cutting of a sphere

Cutting a sphere with a plane Cut a sphere with a plane. What kind of a cut surface figure is created when the plane is moved? In what case does the figure reach the maximum? In what case does it become the minimum?

Cutting of a cylinder

	Cutting a cylinder with a plane vertical to the rotation axis Cut the cylinder with a plane vertical to the rotation axis. Does the size of the circle of the cut surface change? If it does not change, why?
	Cutting a cylinder with a plane parallel to the rotation axis Cut the cylinder with a plane parallel to the rotation axis. What kind of a cut surface figure is created? Why does the cut surface become that figure?
	Cutting a cylinder freely with a plane Cut the cylinder freely with the plane. What kind of a cut surface figure is created? When the cylinder is cut diagonally to the rotation axis, a somewhat unfamiliar figure is created.

Let's cut cubes with a plane! Let's cut spheres and cylinders with a plane! Let’s cut cones with a plane!
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