Volume of a sphere? help stuck!?

Question

A metal cube with sides of 8cm has to be melted down to make small metal balls. Each ball has a radium of 0.4cm calculate how many balls can be made from the block.

I have tried this question over and over but I'm not getting the correct answer, if anyone could go through the sollution I'd be so gratefull!

Answer 1

A metal cube with sides of 8cm has to be melted down to make small metal balls. Each ball has a radium of 0.4cm calculate how many balls can be made from the block.

A metel cube with sides of 8 cm.

[ Note : A metel cube with side is A than the volume is A³ ]    

So

A metal cube volume is 8*8*8

 = 512 cm³

Now, we need to find how many balls can fit into 512 cm³

[ Note : If  know radium r than cube volume is V = (4/3)πr^3 ]

Given that volume is r = 0.4 cm

substitute r = 0.4 in the volume V

We know that  π= 3.14

V = (4/3)(3.14)(0.4)³

Simplify

V = (4.1866)(0.064)

V = 0.2679 cm³

There fore

 = 512 / 0.2679

 = 1911.16

Each ball has a radium of 0.4cm calculate 1911.16 balls can be made from the block.