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Two spheres m and n have volumes of 250 cm and 750 cubic cm respectively. What is the ratio of their radius

Answer :

AL2006

Let's look at the formula for the volume of a sphere:

                 Volume = (4/3) (pi) (radius)³ .

If you multiply the radius of a sphere by 'anything',
then the volume gets multiplied by  (anything)³ .

Going the other direction, if you multiply the volume by
'something', then the radius gets multiplied by  ∛(something).

In this question, the ratio of the volumes is  3 .
So the ratio of the radii (radiuses) is  ∛3 = about  1.442  (rounded)

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