Question

A solid metallic sphere of radius $5.6cm$ is melted and solid cones each of radius $2.8cm$ and height $3.2cm$ are made. Find the number of such cones formed.

Answer 1

Let n be the total number of cones of r=2.8cm and h=3.2cm formed

Volume of sphere = Total volume of all the cones

$\frac{4}{3}\pi \times {5.6}^3=n\times \frac{1}{3}\pi \times {2.8}^2\times 3.2$

$n=28$