Question

A cone of height 24 cm and radius of base 6 CM made up modelling clay a child reshapes it in the form of a sphere find the radius of the sphere

Answer 1

so the radius of the sphere is 6cm.

Answer 2

Height of cone=24
Radius=6cm
Vol of cone=1/3πr^2h
=1/3π*6^2*24
=1/3π*36*24
=288πcm^3
Let the vol of sphere4/3π^3
Vol of sphere=Vol of cone
4/3π^3=288π
4/3^3=288
r^3=288*3/4
r^3=72*3
r^3=8*9*3
r^3=(2*2*2*3*3*3)
r=(2*2*2*3*3*3)1/3
r=(2*2*2)1/3 * (3*3*3)1/3
r=(2^3)1/3 * (3^3)1/3
r=2*3
r=6cm

Therefore the radius if circle is 6cm