A solid right circular cone has base radius and height

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

Problem

A solid right circular cone has base radius

6\text{ cm}

and height

8\text{ cm}

. The material of the cone is melted and recast into solid spherical balls, each of radius

2\text{ cm}

. (i) Calculate the number of complete balls that can be obtained. (ii) If

10\%

of the material is lost during the process, how many complete balls can now be obtained?