Question

A right circuler metallic cone of height 24 cm and base radius 6cm is melted and recast into a solid sphere Find the radius of the sphere
​

Answer 1

Height of cone =24 cm

Base of radius =6 cm

Volume of cone =

3

1

πr

2

h

=

3

1

×π×(6)

2

×24

=288πcm

2

Let the radius of sphere be R cm

Volume of sphere = Volume of cone

3

4

πR

3

=288π

R

3

=

4

288×3

=216

R=

3

216

=6 cm