Properties and Formulas for Cones

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  1. What is the formula for the base of a cone?
    B= chart?chf=bg,s,00000000&cht=tx&chl=%5Cpi%20r%5E2&chs=54x28
  2. What is the formula for the lateral area of a cone?
    L= chart?chf=bg,s,00000000&cht=tx&chl=%5Cpi%20rl&chs=46x28, where r is the radius and l is the cone's slant height.
  3. What is a sector?
    In a circle, a region with boundaries of tow radii and a part of a circle
  4. What is the surface area for a cone?
    • S= L+B
    • or replace L and B with their formulas, 
    • S= chart?chf=bg,s,00000000&cht=tx&chl=%5Cpi%20rl&chs=46x28+chart?chf=bg,s,00000000&cht=tx&chl=%5Cpi%20r%5E2&chs=54x28
  5. How do you find the slant height?
    • You can use the Pythagorean Theorem to find the slant height.
    • chart?chf=bg,s,00000000&cht=tx&chl=r%5E2%2Bh%5E2%3D%20l%5E2&chs=172x38, where r is the radius and h is the height.
  6. What is the formula for the volume of a cone?
    • V= chart?chf=bg,s,00000000&cht=tx&chl=%5Cfrac%7B1%7D%7B3%7D%20Bh&chs=68x64, where B is the area of the base and h is the height.
    • It can also be rewritten. Replace B with its formula:
    • V= chart?chf=bg,s,00000000&cht=tx&chl=%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E2h&chs=98x64
Author:
Malina
ID:
316149
Card Set:
Properties and Formulas for Cones
Updated:
2016-02-19 20:33:02
Tags:
cones math
Folders:
geometry
Description:
Cones: formulas and properties
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