Question

find the ratio of surface area and volume of sphere of unit radius.

Answer 1

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refer to the photo. the ratio is 3:r

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Answer 2

Suppose the radius of the sphere is 'r'.

So. the surface area = 4π r^2

Volume = 4/3 π r^3

Ratio

4\pi {r}^{2} \div \frac{4}{3}\pi {r}^{3}

= 4 r^2 / 4/3 r^3

= 1 / 1/3 r

= 3 / r.

So

3 : r is the ratio of the surface area and the volume of the sphere of unit length.

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