11­5 Volumes of Pyramids and Cones 2011
April 04, 2011
Warm ­ up
Find the SA of each...
1.
2.
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11­5 Volumes of Pyramids and Cones 2011
April 04, 2011
11­5 Volumes of Pyramids and Cones
Objective
Find the volume of pyramids and cones.
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11­5 Volumes of Pyramids and Cones 2011
April 04, 2011
What figures can we find the volume of?
What figure should we compare
pyramids to?
What figure should we
compare cones to?
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11­5 Volumes of Pyramids and Cones 2011
April 04, 2011
How can we relate prisms and pyramids with congruent bases?
How many pyramids...
...will fit into one prism?
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11­5 Volumes of Pyramids and Cones 2011
April 04, 2011
Pause for
demonstration.
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11­5 Volumes of Pyramids and Cones 2011
April 04, 2011
So...
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11­5 Volumes of Pyramids and Cones 2011
April 04, 2011
Find the volume of this pyramid:
Step 1: Start with the formula
3.3 in.
V = A x h base
3
6.2 in.
Step 2: Plug in the numbers
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11­5 Volumes of Pyramids and Cones 2011
April 04, 2011
Also, the volume of a cylinder is 3 times as big as the
volume of a cone with a congruent base and height.
Volume of cylinder = πr2 x h
Volume of cone = πr2 x h
3
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11­5 Volumes of Pyramids and Cones 2011
April 04, 2011
Try a cone!
Step 1: Start with the formula
6 cm
4 cm
Step 2: Plug in the numbers
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11­5 Volumes of Pyramids and Cones 2011
April 04, 2011
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p. 634 #1-10, 13,
15, 18, 22
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11­5 Volumes of Pyramids and Cones 2011
April 04, 2011
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