Welcome :: Homework Help and Answers :: Mathskey.com
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

12,137 questions

16,800 answers

1,421 comments

10,643 users

Volume of a sphere? help stuck!?

+1 vote
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!
asked Jan 12, 2013 in PRECALCULUS by andrew Scholar

1 Answer

+1 vote

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.

answered Jan 12, 2013 by richardson Scholar

Related questions

asked Aug 4, 2014 in PRECALCULUS by anonymous
...