13.3 Find Volume of Cones

MATHEMATICS OBJECTIVE

Students will be able to:

Find the volume of a cone.
Recognize the relationship between volume of a cylinder and volume of a cone.

ESSENTIAL UNDERSTANDING

The volume of a cone is 1/3 of the volume of a cylinder with the same radius and height. Students will examine this relationship and use it to determine the volume of any cone.

7.3 Blank Notes

7.3

7.3 Dice Activity Data Sheet

I can calculate the volume of a cone.

I can relate the volume of a cone to the volume of a cylinder.

VOLUME OF A CONE

The volume of a cone is 1/3 the volume of a cylinder with the same base and

height. The formula for the volume of a cone is V = (1/3)Bh, where B is the

area of the base and h is the height of the cone.

FORMULAS

V = (1/3)Bh

B = πr²

V = (1/3)πr²h

DIAGRAM DESCRIPTION

A blue cone has a circular base with radius r marked from the center to the

edge. A dashed perpendicular segment from the center of the base to the tip

is labeled h, the height of the cone. A right-angle marker shows the height

is perpendicular to the base.

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