Question

a metallic sphere with radius 10 cm is melted and recast to make balls with diameter 1 cm how many balls will be made

Answer 1

20 because if diameter is 1cm then radius will be 0.5cm then if a ball of radius 10cm is melted we will get 20 balls

Answer 2

Radius of sphere = 10cm
Volume of sphere = 4 pi*r^3 /3
= 4 * 1000*pi/3
= 4000 pi/3

Now,
Radius of ball= 1/2cm
Volume of 1 ball = 4pi *r^3 / 3
= 4 * 1 *pi / 3*8
= pi /6
No. of balls = Volume of sphere /Volume of 1 ball
No. of balls = (4000 pi/3) / (pi /6)
= 4000 pi* 6/3 pi
= 4000 *2
= 8000

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