A sphere is formed by melting 96 cones of radius 1.5cm and height 4cm. Find the radius of the sphere.
volume of 1 cone = 13πr2h=13π×1.52×4=3πcm3
= 227×3=667
volume of 96 cones =96×3π=288πcm3
now, this volume = volume of sphere..
43πr31=288π
r31=288×34=72×3=23×33=63
r1=6cm