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26-05-2020
Mathematics

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

Respuesta :

aabdulsamir aabdulsamir

01-06-2020

Answer:

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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