SOLUTION: A jeweler has three small solid spheres made of gold, of radius 2mm, 3mm, and 4mm. He decides to melt these down and make just one sphere out of them. What will the radius of this

Question 31263This question is from textbook College Algebra
: A jeweler has three small solid spheres made of gold, of radius 2mm, 3mm, and 4mm. He decides to melt these down and make just one sphere out of them. What will the radius of this larger sphere be?
Thank you so very much! This question is from textbook College Algebra

Answer by mbarugel(146) (Show Source): You can put this solution on YOUR website!
Hello!
We need to use the formula for the volume of a sphere:

where r is the radius.
The jeweler has 3 spheres of gold. Let's see the total volume of gold he has:

He 414.69023... cubic mm of gold. Therefore, when he makes one sphere, its volume will be exactly that value. Now, using the volume formula, we can find the radius of a shpere that has that volume:

So the new sphere will have a radius of 4.62606... mm

I hope this helps!
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