13.2 Volume of Pyramids and Cones - PowerPoint PPT Presentation

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13.2 Volume of Pyramids and Cones

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  1. 13.2 Volume of Pyramids and Cones By Bethany Larson and Eric Humpert

  2. Objectives • To find the volume of cones • To find the volume of pyramids • To be goofy goobers!!!

  3. VOLUME :D 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!!!!

  4. Exceptions… • 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…

  5. Goober example 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….

  6. PYRAMIDS!! 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

  7. Chuck Norris in Bikini Bottom? • 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.

  8. Khufu 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

  9. YAY!! Assignment! Page 699 #8-30 ALL PROBLEMS!!! Don’t forget to show your work, Chuck Norris will avenge his creation 

  10. PSYCH!! Okay, the real assignment is.. Page 699 # 8-17, 25-27 #20 for bonus 