 # Volume of Pyramids & Cones How would the volume of a cylinder and cone with the same height and radius be similar? Different? How about a prism and pyramid.

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Volume of Pyramids & Cones How would the volume of a cylinder and cone with the same height and radius be similar? Different? How about a prism and pyramid with the same dimensions? How would the volume of a cylinder and cone with the same height and radius be similar? Different? How about a prism and pyramid with the same dimensions?

ANSWER If a cylinder can hold 12 ounces of liquid, a cone with the same radius and height can only hold 4 ounces. If a cylinder can hold 12 ounces of liquid, a cone with the same radius and height can only hold 4 ounces. Same goes for a prism and pyramid with the same length, width, and height. Same goes for a prism and pyramid with the same length, width, and height. So think about a formula that will always work derived from V = Bh So think about a formula that will always work derived from V = Bh

Volume of Pyramids & Cones Volume of a Pyramid or Cone Volume of a Pyramid or Cone V = ⅓Bh or V = ⅓Bh or V = Bh V = Bh 3

Find the volume of Pyramids and Cones Find the volume of Pyramids and Cones (1) Rectangular Pyramids (1) Rectangular Pyramids (2) Triangular Pyramids (2) Triangular Pyramids (3) Cones (3) Cones COMMON CORE #24

Volume of a rectangular pyramid V = ⅓ Bh V = ⅓lwh V= ⅓ (64)(8) V=64 unit³ Need to know area of the base and height of pyramid and plug in to the formula

Volume of a triangular pyramid V= ⅓ Bh V= ⅓ (½lw)(h) V= ⅓ (½812)(16) V=256 unit³ Need to Know what the 8, 12, and 16 Represent

Volume of a Cone V= ⅓ Bh V= ⅓ Bh V= ⅓πr²h V= ⅓πr²h V= ⅓ (3.14)(8)(8)(15) V= ⅓ (3.14)(8)(8)(15) V=1004.8 in³ V=1004.8 in³ You just need to know the radius and height You just need to know the radius and height

PRACTICE PROBLEMS Pages 278 Pages 278 1-6 1-6 TAKE YOUR TIME AND EXECUTE TAKE YOUR TIME AND EXECUTE USE THE THREE EXAMPLES WE JUST DID USE THE THREE EXAMPLES WE JUST DID 4/6 or better = DONE 4/6 or better = DONE 3/6 or 2/6 = 3 more problems 3/6 or 2/6 = 3 more problems 1/6 or 0/6 = 6 more problems 1/6 or 0/6 = 6 more problems

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