Question

the surface areas of two spheres are in the ratio 1 is to 4 then, ratio of their volume​

Answer 1

Step-by-step explanation:

                   

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Answer 2

Answer:

1:8

Step-by-step explanation:

Given that the surface areas of two spheres are in the ratio 1:4. Let the radii of the spheres be r and R respectively, then,

4πr²/4πR² = 1/4

r²/R² = 1/4

r/R = √1/√4

r/R = 1/2

Now, we will find the ratio of their volumes,

4/3πr³

4/3πR³

= r³/R³

= 1³/2³

= 1/8

Therefore, the ratio of the volumes of the two spheres is 1:8.

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