Question

(b) By melting a lead sphere of diameter 12
cm three small spheres are formed. If the
ratio of the diameter of small spheres be
3:4:5 find the radius of each small sphere.​

Answer 1

Step-by-step explanation:

We know that

Volume of sphere =4/3πr

3

Given D=12cm

∴r=6cm

Volume of big sphere =

3

4

×x×216

=288x

According to Question

288x=

3

4

x(27x

3

+64x

3

+125x

3

)

4

288×3

=216x

3

x=1cm

∴ Radius of smallest sphere =3cm