Question

A cone of height 20 cm and radius of base 5 cm is made up of modelling clay a child reshapes it in cell shape of square find the diameter of the sphere sphere

Answer 1

a diameter of the sphere is 100cm

Answer 2

Answer:

Step-by-step explanation:

Given:

Height of cone (h)= 20 cm

Radius of cone radius of cone (r1)= 5 cm

Volume of cone= (⅓)πr1²h

Volume of cone= (⅓)× π × 5²×20

= (25×20)π/ 3 = 500π/3

Volume of cone=500π/3 cm³

Let radius of sphere= r2

Volume of sphere=( 4/3)πr2³

=( 4/3)×π×(r2)³= 4πr2³/3

Volume of sphere= 4πr2³/3

Child reshapes cone with Sphere

So , volume of Sphere= volume of cone

4πr2³/3 = 500π/3

4r2³= 500

r2³= 500/4= 125

r2³= 125

r2=³√125

r2= 5 cm

Diameter of the sphere = 2× radius= 2× 5 = 10 cm

Hence, the Diameter of the sphere= 10 cm

HOPE THIS WILL HELP YOU...