Uses of π

3-Dimensional Applications:

Volume of a Cylinder

When dealing with 3-D solids, we have volume, total area and lateral area. In order to understand these completely, we have included the following definitions.

Volume - The amount of 3-D space an object takes up

Lateral area - Surface area of an object not including the bases

Total area - Lateral area plus the area of the bases

Formulas:

You have a cylinder with a radius of 3.14 cm and a height of 7.2 cm. Find the lateral area, total area, and volume.

Solution:

Take the knowns (r=3.14 and h=7.2) and plug them into the equations.

S=45.21pi or approximately 142

T=64.93pi or 204

V=71 pi or 223


Now onto the next level!

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