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Published byDorthy Neal Modified over 9 years ago
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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 Definitions
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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
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Formula… Volume = (area of base) x (height) A = πr² Remember…the base is a circle!!! Soooo, V = πr²h
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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?
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What if you only have the diameter? d = 8 cm h = 11 cm
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d = 10 cm V = 275 cm³ Find the height of the cylinder.
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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)
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Example 1: V = ⅓Bh = (⅓) r 2 h Area of Circle 6 in 11in
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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
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Volume of a Sphere
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2 cm Volume of a Sphere
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10 cm Volume of a Sphere
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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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