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13.2 Volume of Pyramids and Cones

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13.2 Volume of Pyramids and Cones

By Bethany Larson and Eric Humpert

- To find the volume of cones
- To find the volume of pyramids
- To be goofy goobers!!!

Happy face!

If a right circular cone has a volume of V cubic units, a height of h units, and a base with an area of B units, then V=⅓Bh

An oblique cone will have a height that is from the vertex and perpendicular to the base.

DON’T FORGET!! Area of a circle is r²

+

=

FAIL!!!!

- You will need to use trigonometry to find some information of a cone. Don’t worry though, we know you can do it!!

Don’t be like Patrick here…

Squidward needs to find out if Patrick has enough volume for a brain. For Patrick to have a brain he needs to have 2500cm³ of space within his cranium. Use the formula to help him. Patrick’s head has a radius 10cm and a height of 22cm. Assume his head is a right cone.

About 2303cm³, so no….

If a pyramid has a volume of V units, and a height of h units, and a base area of B units, the V=⅓Bh

h

- That’s right, Chuck Norris.
- Everyone knows Chuck Norris built the pyramids, and now, he wants to make one with 3 times the volume of Khufu’s Pyramid. Chuck Norris demands you help, even though he doesn’t need it since he invented geometry.

Khufu’s base is a regular square with sides of the base that are 755ft, it’s height is 449ft. What is going to be the volume of the new pyramid??

About 255,941,225ft³

Page 699

#8-30

ALL PROBLEMS!!!

Don’t forget to show your work, Chuck Norris will avenge his creation

Okay, the real assignment is..

Page 699

# 8-17, 25-27

#20 for bonus