The ratio of the volumes of two spheres is 64 : 125. what is the ratio of their surface areas?

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The volume of the.two ratio is 125: 64 find the ratio of their radii

Solution

Volume of sphere is given by (4/3)πr³ The ratio of volumes is given by (4/3)×π×R1³/ (4/3) ×π×R2³ Therefore ratio of volume of spheres is the cubes of their radii (R1/R2)³=125/64 (R1/R2)³=(5/4)³

Therefore the radii are in the ratio 5:4

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