Question

A metallic sphere of radius $10.5cm$ is melted and then recast into smaller cone, each of radius $3.5cm$ and height $3cm$. How many cones are obtained?

Answer 1

It is given that

Radius of the sphere $=10.5cm$

Radius of smaller cone $=3.5cm$

Height $=3cm$

We know that

Number of cones = Volume of the sphere $÷$ Volume of one small cone

So we get

Number of cones $=\frac{(\frac{4}{3}\times \frac{22}{7}\times (10.5{)}^3)}{(\frac{1}{3}\times \frac{22}{7}\times {3.5}^2\times 3)}$

On further calculation

Number of cones $=\frac{4851}{38.5}=126$

Therefore, $126$ cones are obtained from the metallic sphere.