A solid lead sphere of radius is melted and recast into 9 identical right circular cones

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

Problem

A solid lead sphere of radius

7\,\text{cm}

is melted and recast into 9 identical right circular cones, each having a base radius of

5\,\text{cm}

. (i) Find the height of each cone. (ii) Calculate the total curved surface area of the 9 cones. (Use

\pi = 22/7