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11.7 Volume of Pyramids and Cones
Mrs. vazquez Geometry
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g-gmd.1.1, 1.3 ; g-mg.1.3 Essential Question:
How do the volumes of cones and pyramids compare? Objective: Students will be able to calculate volume of pyramids and cones.
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theorems Volume of a Pyramid: The volume of a pyramid is
V = ⅓Bh, where B is the area of a base & h is the height. Volume of a Cone: The volume of a cone is V = ⅓Bh = ⅓(πr2)h, where B is the area of a base, h is the height, & r is the radius of the base.
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Solve A right cylinder with radius 3cm & height 10cm has a right cone on top of it with the same base & height 5cm. Find the volume of the solid rounded to the hundredth place value.
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Find volume h = 5.8in ∡formed by r & slant height = 40o
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Find h The volume of a right cone is 1350π m3 & the radius is 18m.
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