Question

Volume of two sphere are in ratio 24:27
Ratio of their radii are​

Answer 1

2.8/3

Step-by-step explanation:

volume is directly proportion r^3

as volume of sphere =(4 pie r^3)/3

therefore r1/r2=(24/27)^1/3

=(2(3)^1/3)/3

= 2.8 /3

Answer 2

• Let radii of 1st sphere be (R) and radii of 2nd sphere be (r).

» Volume of two sphere are in the ratio 64 : 27

We know that,

Volume of sphere = 4/3 πr³

So,

R/r = Volume of 1st sphere/Volume of 2nd sphere

→ (4/3 πR³)/(4/3 πr³) = 64/27

→ R³/r³ = 64/27

Now.. (4)³ = 64 and (3)³ = 27

So,

→ R³/r³ = 4³/3³

→ R/r = 4/3

→ R : r = 4 : 3

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4 : 3 is the ratio of the radii of the two spheres.

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