Mission 5 Mission 5: Mission 5: To successfully find the volumes of pyramids and cones. Vocabulary: Formula: Vocabulary: volume, pyramid, cone Formula: V = A base  H

Pyramid-Cone volume Recall that a cone is a 3 -D figure with a circular base and meets at a point called a vertex. Also recall that a pyramid has a polygonal base and meets at a point called a vertex.

Do you see a pattern? The formula for the volume of both these figures is the same: where A is the area of the base and H is the height of the figure. V= A base  H

Let’s see it! V = A base  H, H = Find the volume of a square pyramid with a height of 35 m and base length of 44 m. The base is square A = s 2 = 44 2 = 1936 m 2 V = A base  H =  1936  35 = m 3

Your turn! Suppose you are going to the carnival, and you buy a snow cone which has a height of 6 cm. and a volume of 40 cm 3. What’s the radius of the base?

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Here is your Answer... V = 1/3 A base  H 40 = 1/3 (  r 2 ) H 40 = 1/3 (  ) (r) 2 (6) 40 = 2  r = r = r