Question

the base radius and height of a right circular solid cone are 2 cm and 8 cm respectively . if it is melted and recast into spheres of diameter 2 cm each, then the number of spheres so formed

Answer 1

Answer:

r=2cm

h=8cm

volume of cone =1/3πr^2h

=1/3.22/7.2.2.8

=1/3.11/7.16

=176/21

=8.3

Diameter of sphere d=2cm

r=d/2=2/2=1

Volume of sphere =4/3,πr, ^3

=4/3.22/7.1.1.1

=4/3.227

=4.1

The no of spheres formed =8.3/4.1

=2.02

Hence 2 spheres can be made