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15 December, 09:59

The ratio of the volume of two spheres is 27:125. What is the ratio of lengths of the radii?

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  1. 15 December, 10:16
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    3:5

    Step-by-step explanation:

    V1 / V2 = 27 / 125

    Volume of a sphere = 4/3πr³

    (4/3πr₁³) / (4/3πr₂³) = 27/125

    r₁³ / r₂³ = 27/125

    r₁ / r₂ = [3√ (27) ] / [3√ (125) ]

    r₁ / r₂ = 3/5

    r₁:r₂ = 3:5

    The ratio of the length of their radius is 3:5
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