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The surface areas of the two spheres are in the ratio 1 : 4.
The ratio of their volume is ____.

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Detailed Solution

we use the formula of surface area of sphere is 4πr2 and volume of sphere is

.
Now, we take the radius of one sphere γ and the other as γ1.
Ratio of the surface area of two sphere as per using the condition given in the question
Question Image

∴

Ratio of volume of the sphere.
Now, ratio of the volume of the sphere can be given as
Question Image

(Calculation volume ratio

)
So (putting the value

)

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