The volumes of two spheres are in a ratio of 1:8. what is the ratio of their radii?

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04-05-2018
Mathematics

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The volumes of two spheres are in a ratio of 1:8. what is the ratio of their radii?

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calculista calculista · Answer 1 · 2018-05-14T16:03:26+02:00

calculista calculista

14-05-2018

we know that

volume of a sphere=(4/3)*pi*r³

let
A-----> smaller sphere
B-----> larger sphere

VA=(4/3)*pi*rA³
VB=(4/3)*pi*rB³
VA/VB=1/8--------> (1/8)=[(4/3)*pi*rA³]/[(4/3)*pi*rB³]

(1/8)=[rA³]/[rB³]-----> (1/8)=[rA/rB]³-----> rA/rB=∛(1/8)----> rA/rB=1/2

the answer is
the ratio of their radii is (1/2)

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