# If ratio of volumesome of two spheres is 64:27.Find the ratio of their radii.

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by sofiya

2015-01-15T09:59:22+05:30

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Volume of a sphere, V = (4/3) π r³

⇒ V ∞ r³ ⇒ ∛V = r

∛V₁/∛V₂ = r₁/r₂               (Let, V₁ =64 and V₂ = 27)

⇒∛(64)/∛(27) = r₁/r₂

⇒ 4/3 = r₁/r₂

r₁ : r₂ = 4 : 3
2015-01-15T11:00:54+05:30

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Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
we know that, volume of a sphere, V = (4/3) π r³
then (4/3) π r³: (4/3) πR³ = 64 : 27
r³ : R³ = 64: 27
r : R = ∛64 : ∛27
r : R = 4 : 3
therefore, the ratio of their radii = 4 : 3
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