Mathematics

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

Browse the problem library