SOLUTION: The volume of a sphere varies directly as the cube of its radius. If the ratio of the radius of two spheres is 5:3, what is the ratio of the volumes of the spheres? (hint: (r1)/ (r

Question 1105282: The volume of a sphere varies directly as the cube of its radius. If the ratio of the radius of two spheres is 5:3, what is the ratio of the volumes of the spheres? (hint: (r1)/ (r2)=5/3)

Found 2 solutions by Fombitz, greenestamps:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

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So,

and,

Answer by greenestamps(13206) (Show Source): You can put this solution on YOUR website!

All spheres are similar. For any similar figures, if the ratio of linear measurements (scale factor) is a:b, then the ratio of area measurements is a^2:b^2 and the ratio of volume measurements is a^3:b^3.

The radius of a sphere is a linear measurement; if the ratio of the radii of two spheres is 5:3, then the ratio of the volumes is 5^3:3^3 = 125:27.
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