Mission 5Mission 5

Mission 5:Mission 5: To successfully find the volumes of pyramids and cones.

VocabularyVocabulary:: volume, pyramid, cone

FormulaFormula:: V = Abase H31

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.

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

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

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?

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!

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.

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