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Chapter 12 12.3 Surface Area of Pyramids and Cones
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Cone A circular base and a vertex that is not in the same plane as the base.
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Right Cone The height meets the base at its center The Slant height is the distance between the vertex and a point on the edge of the base
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Theorem 12.5 Surface Area of a Right Cone S is the surface area r is the radius of the base l is the slant height
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Find the Slant Height l l 2 = 5 2 + 18 2 l 2 = 25 + 324 l = 349
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Find the surface area 1.Find the area of the base 2.Find the slant height 3.Plug into the formula 4.Evaluate S = (12) 2 + (12)(20) S = 384 S = (4.5) 2 + (4.5)(15.2) S = 88.9 S = (6.5) 2 + (6.5)(13) S = 126.75
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Find the surface area of the solid Composed of cube and square based pyramid 1.Find the Surface area of the cube not including the top base first S = B + PlPl 2.Find the Lateral Surface area of the pyramid next S = 0.5Pl 3.Add them together
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Find the surface area of the solid Composed of cylinder and a cone 1.Find the Surface area of the cylinder not including the top base first S = B + Ch 2.Find the Lateral Surface area of the Cone next S = rlrl 3.Add them together
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Homework #69 Pg 739-741 20-38, 42-46
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