Question

No Question.

Answer 1

Radius of the bigger sphere = r cm
Radius of smaller spheres = r₁ cm

\[\frac{\text { Volume of bigger sphere }}{\text { Volume of small spheres }} = \frac{\frac{4}{3} \pi r^3}{\frac{4}{3}\pi r_1^3} = \frac{r^3}{r_1^3} = 8\]

\[ \Rightarrow \left( \frac{r}{r_1} \right)^3 = \left( \frac{2}{1} \right)^3 \]

\[ \Rightarrow \left( \frac{r}{r_1} \right) = \left( \frac{2}{1} \right)\]

Hence, r : r₁ = 2 : 1.