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Mission 5Mission 5
Mission 5:Mission 5: To successfully find the volumes of pyramids and cones.
VocabularyVocabulary:: volume, pyramid, cone
FormulaFormula:: V = Abase H31
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Pyramid-Cone volumePyramid-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.
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Do you see a pattern?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= Abase
H31
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Let’s see it!Let’s see it!
V = Abase H, H = 35.
35
44
Find the volume of a square pyramid with a height of 35 m and base length of 44 m.
31
The baseis square
A = s2 = 442 = 1936 m2
V = Abase H
= 1936 35
= 22 587 m3
31
31
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Your turn!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 cm3. What’s the radius of the base?
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Do you feel the love? Do you feel the love? Way to go. You got that Way to go. You got that
one right!one right!
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Don’t give up! We’re all Don’t give up! We’re all cheering for you. Click on the cheering for you. Click on the math nerd for an explanation.math nerd for an explanation.
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Here is your Answer...Here is your Answer...
V = 1/3 Abase H
40 = 1/3 ( r 2) H
40 = 1/3 () (r) 2 (6)
40 = 2 r 2
6.37 = r 2
2.52 = r