Lesson 6-3 Volume of Pyramids and Cones

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Lesson 6-3 Volume of Pyramids and Cones Obj: The student will be able to find the volume of pyramids and cones HWK: p 278 1-9 all

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

Find the volume of each figure. Use 3.14 for π. Ex 1) 6 cm 4 cm 7 cm

Ex 2) 10 m 3 m

Ex 3) 8 ft 7 ft 9 ft

Ex 4) 7 mm 8 mm

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.

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.

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.