Volume of Pyramids Cones n How would the

Volume of Pyramids & Cones n 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. n Same goes for a prism and pyramid with the same length, width, and height. n So think about a formula that will always work derived from V = Bh n

Volume of Pyramids & Cones n Volume of a Pyramid or Cone n. V = ⅓Bh or n. V = B h 3

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

VIDEO LINK n https: //www. youtube. co m/watch? v=_Eaur 5 e 2 o. DY n Watch this before we work any problems.

Volume of a rectangular pyramid V = ⅓B h V =⅓lwh V= ⅓(6 • 4)(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 Need to Know what the 8, 12, and 16 Represent V= ⅓ Bh V= ⅓(½lw)(h) V= ⅓ (½ • 8 • 12)(16) V=256 unit³

Volume of a Cone V=⅓Bh n V=⅓πr²h n V= ⅓(3. 14)(8)(8)(15) n V=1004. 8 in³ n n You just need to know the radius and height

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