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24 March, 05:34

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

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  1. 24 March, 09:28
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    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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