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two similar cones have heights 4m and 12m. what is the sacle factor?

 Apr 23, 2015

Best Answer 

 #1
avatar+23254 
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The scale factor for all lengths (height, width, circumference, etc) will be 4/12 (or 12/4, depending upon whether you want to go from small to large or large to small). 4/12 reduces to 1/3.

The scale factor for all areas (total areas, area of the bases, area of the sides) will be the squares of the lengths, or 12/32, which reduces to 1/9. (This means that the surface area of the larger cone is 9 times the surface area of the smaller cone.

The scale factor for the volumes will be the cubes of the lengths:  13/33, which reduces to 1/27. (This means that the volume of the larger cone is 27 times the volume of the smaller cone.)

 Apr 23, 2015
 #1
avatar+23254 
+5
Best Answer

The scale factor for all lengths (height, width, circumference, etc) will be 4/12 (or 12/4, depending upon whether you want to go from small to large or large to small). 4/12 reduces to 1/3.

The scale factor for all areas (total areas, area of the bases, area of the sides) will be the squares of the lengths, or 12/32, which reduces to 1/9. (This means that the surface area of the larger cone is 9 times the surface area of the smaller cone.

The scale factor for the volumes will be the cubes of the lengths:  13/33, which reduces to 1/27. (This means that the volume of the larger cone is 27 times the volume of the smaller cone.)

geno3141 Apr 23, 2015

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