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Lesson 6-3 Volume of Pyramids and Cones
Obj: I can find the volume of pyramids and cones HWK:
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Formulas: Volume Pyramids: Cone: V= 1 3 Bh V = 1 3 Bh or V = 1 3 πr²h B = area of base B = area of base H = height of pyramid h = height of cone
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Find the volume of each figure. Use 3.14 for π.
Ex 1) 6 cm 4 cm 7 cm
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Ex 2) 10 m 3 m
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Ex 3) 8 ft 7 ft 9 ft
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Ex 4) 7 mm 8 mm
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Ex 5) A cone has radius 3 m and height 10 m
Ex 5) A cone has radius 3 m and height 10 m. Explain whether doubling the height would have the same effect on the volume of the cone as doubling the radius.
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Ex 6) The Pyramid of Kukulcan in Mexico is a square pyramid
Ex 6) The Pyramid of Kukulcan in Mexico is a square pyramid. Its height is 24 m and its base has 55 m sides. Find the volume of the pyramid.
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Ex 7) Find the volume of a traffic pylon cone if the radius of the base is 15 cm and the height is 64 cm. Round to the nearest cubic centimeter if needed.
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