Question

If radius of one sphere is half of radius of another sphere then their volumes are in the ratio

Answer 1

Step-by-step explanation:

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Answer 2

The ratio of the volume of spheres is 8:1

Step-by-step explanation:

Let the radius of one sphere be r

We are given that the radius of one sphere is half of radius of another sphere

Radius of another sphere = $\frac{1}{2}r$

Volume of sphere 1 = $\frac{4}{3} \pi r^3 =\frac{4}{3} \times \frac{22}{7} \times r^3$

Volume of sphere 2 = $\frac{4}{3} \times \frac{22}{7} \times (\frac{r}{2})^3$

Ratio of volume of sphere 1 to Volume of sphere 2 = $=\frac{\frac{4}{3} \times \frac{22}{7} \times r^3}{\frac{4}{3} \times \frac{22}{7} \times (\frac{r}{2})^3}\\=\frac{8}{1}$

Hence the ratio of the volume of spheres is 8:1

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