Question

A solid metallic cone of height 10 cm, radius of base 20 cm is melted to make spherical balls each of 4 cm diameter. How many such balls can be made?

Answer 1

ANSWER :

• CONE :

Radius ( r ) = 20 cm

Height ( h ) = 10 cm

Volume of cone = 1/3πr^2h

=> Vol.of cone = 1/3*22/7*20^2*10

=> Vol.of cone = 88000/21 cm^3

• SPHERE :

Radius ( R ) = D / 2 = 4/2 = 2 cm

Volume of ball = 4/3πR^3

=> Vol.of ball = 4/3*22/7*2^3

=> Vol.of ball = 704/21 cm^3

No.of balls = V.of cone/V.of sphere

=> No.of balls = 88000/21÷704/21

=> No.of balls = 125

Therefore,125 balls can be made.

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