A solid right circular cone of base radius and height is melted and recast into…

MATHEMATICS · Multi-part · CBSE · Mathematics · Surface Areas and Volumes · Surface Areas and Volumes

Problem

A solid right circular cone of base radius

5\,\text{cm}

and height

12\,\text{cm}

is melted and recast into identical smaller cones, each having a base radius of

2\,\text{cm}

and height of

3\,\text{cm}

. During the process,

4\%

of the metal is lost. (i) Find the total number of smaller cones that can be made. (ii) Calculate the total volume of metal lost during recasting.