Mathematics
Grade9
Easy

Question

Two similar cones have a scale factor of fraction numerator 8 over denominator 27 end fraction Find is the ratio of their volumes.

  1. fraction numerator 2 over denominator 3 end fraction    
  2. fraction numerator 64 over denominator 729 end fraction    
  3. fraction numerator 512 over denominator 19683 end fraction    
  4. fraction numerator 8 over denominator 27 end fraction    

hintHint:

A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex. A cone is formed by a set of line segments, half-lines, or lines connecting a common point, the apex, to all of the points on a base that is in a plane that does not contain the apex.

The correct answer is: fraction numerator 512 over denominator 19683 end fraction


    Ratio of the volumes = a3 : b3.
    fraction numerator 8 to the power of 3 end exponent over denominator 27 to the power of 3 end exponent end fraction
    equals fraction numerator 512 over denominator 19683 end fraction
    Hence, the correct option is C.

    Two figures are said to be similar if they are the same shape.

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