Definitions A cylinder has two identical flat ends that are circular and one curved side. Volume is the amount of space inside a shape, measured in cubic.

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Lesson 9-3: Cylinders and Cones

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Lesson 9-3: Cylinders and Cones

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Volume of a Cylinders, Cones, and Spheres How much will I hold? MCC8.G.9

Definitions A cylinder has two identical flat ends that are circular and one curved side. Volume is the amount of space inside a shape, measured in cubic units

Definitions Diameter is the measure of a line segment from edge to edge through the center. Radius is the measure from the center to a point on the circle. Height is the distance between the two bases. Pi or π = 3.14 height radius

Finding the Volume Formula… Volume = (area of base) x (height) A = πr² Remember…the base is a circle!!! Soooo, V = πr²h

Example: A can of tomato soup is a cylinder with a diameter of 7 cm and a height of 10 cm. What’s the volume of the can?

Example: What if you only have the diameter? d = 8 cm h = 11 cm

d = 10 cm V = 275 cm³ Find the height of the cylinder.

Volume of a Cone Cone – Is “pointed” like a pyramid, but its base is a circle. h V = ⅓Bh r Area of the Base A = r2 Height of the cone, not to be confused with the slant height (l)

Example 1: Area of Circle V = ⅓Bh = (⅓)r2h 11in 6 in

Solve for the missing variable The following cone has a volume of 110. What is its radius? V = ⅓Bh 10cm r

Volume of a Sphere

Volume of a Sphere

Volume of a Sphere 2 cm

Volume of a Sphere 10 cm

Volume of a Sphere A spherical balloon has an initial radius of 5 in. When more air is added, the radius becomes 10 in. What is the difference in the two volumes? 5 in 10 in