Answer 1

Let the number of such cones formed be n
Now, Volume of solid metallic sphere = Volume of n solid cones

\[\Rightarrow \frac{4}{3} \times \frac{22}{7} \times \left( 5 . 6 \right)^3 = n \times \frac{1}{3} \times \frac{22}{7} \times \left( 2 . 8 \right)^2 \times 3 . 2\]

\[ \Rightarrow 4 \times \left( 5 . 6 \right)^3 = n \times \left( 2 . 8 \right)^2 \times 3 . 2\]

\[ \Rightarrow n = 28\]