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