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 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.

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Presentation on theme: " 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."— Presentation transcript:

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2  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

3  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

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

5 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?

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

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

8  Cone – Is “pointed” like a pyramid, but its base is a circle. Volume of a Cone h r V = ⅓Bh Area of the Base A =  r 2 Height of the cone, not to be confused with the slant height (l)

9 Example 1: V = ⅓Bh = (⅓)  r 2 h Area of Circle 6 in 11in

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

11 Volume of a Sphere

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13 2 cm Volume of a Sphere

14 10 cm Volume of a Sphere

15 5 in 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? 10 in


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