Section 12-3 Cylinders. cylinder It is like a prism except that its bases are circles instead of polygons. Bases.

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Presentation transcript:

Section 12-3 Cylinders

cylinder It is like a prism except that its bases are circles instead of polygons. Bases

Right cylinder The segment joining the centers of the circular bases is an altitude.

Parts of a Right Cylinder The length of the altitude is called the height A radius of a base is the radius of the cylinder r h

An Example of an oblique cylinder

The formulas for cylinders are related to the formulas for right prisms!

Why? Cylinders and prisms both have two, congruent, parallel bases

Theorem 12-5 The lateral area of a cylinder equals the circumference of a base times the height of the cylinder.

In other words…

Total area T.A. = L.A. +

Theorem 12-6 The volume of a cylinder equals the area of a base times the height of the cylinder.