Math

the formula for the volume of a cone is v=1/3pir^2h. The volume cone x is 2 times the volume of cone Y. Why the height of cone X is 2 times the heigh of the cone Y, and the radius of cone X is the same as the radius of cone Y.

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asked by Depti
  1. I will try to explain with an example

    Suppose you have the product (4x5x6) which would be 120

    So if we double that we would get
    2 x (4x5x6) or 240

    Would we multiply the 2 by each of the factors of the original product ? Of course not.
    We would multiply by only one of the factors so we could have
    8x5x6 , or
    4x10x6, or
    4x5x12 to get our 240

    The same thing applies to
    (1/3)π r^2 h
    if we double that result, we would multiply either the 1/3 or the π or the r^2 or the h by 2, but not all of them

    so 2 (1/2)π r^2 h
    can be written as (1/3)π r^2 (2h), that is,
    I doubled the h and left everything else the same

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    posted by Reiny

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