A solid metallic sphere of radius is melted and recast into right circular cones
MATHEMATICS · Subjective · CBSE · Mathematics · Surface Areas and Volumes · Surface Areas and Volumes
Problem
A solid metallic sphere of radius 9cm is melted and recast into right circular cones, each having a radius of 3cm and a height of 4cm.
(a) Find the volume of the original sphere.
(b) Calculate the volume of one cone.
(c) Determine how many such cones can be formed from the melted metal.
(d) If 2cm3 of metal is wasted in the process for every cone produced, find the maximum number of complete cones obtained.