Question

The length, breadth and height of a solid metallic cuboid are $44cm,21cm$ and $12cm$ respectively. It is melted and a solid cone is made out of it. If the height of the cone is $24cm$, then find the diameter of its base.

Answer 1

Volume of cone $=\frac{1}{3}\pi r^{2}h(R^2+r^2+Rr)$ cubic units
Volume of cuboid $=l\times b\times h$ cubic units
Volume of cone $=$ Volume of cuboid
Radius $r=21cm$
Diameter $=42cm$