Question

the the ratio between two diameter of a sphere is 1:2 find the ratio between their radius​

Answer 1

Answer:

the ratio between the radii of two spheres is 1 : 3.

we know, volume of sphere = 4/3 πr³

⇒volume of sphere ∝ (radius)³

so, volume of sphere₁/volume of sphere₂ = (r₁/r₂)³

= (1/3)³

= 1³/3³

= 1/27

hence ratio of volume of spheres is 1 : 27.

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