SOLUTION: How do I go about solving this word problem: A jeweler has three small solid speres made of gold, of radius 2mm, 3mm, and 4mm. She decides to melt these down and make just one sper

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Question 430937: How do I go about solving this word problem: A jeweler has three small solid speres made of gold, of radius 2mm, 3mm, and 4mm. She decides to melt these down and make just one spere out of them. What will the radius of this larger spere be?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

Volume(Sphere) = 4/3pir^3  and r = root%283%2C+%283%2F4%29%2AV%2Fpi%29

 4/3pi2^3  +  4/3pi3^3 +  4/3pi4^3  = 4/3*99pi = 132%2Api+mm%5E3



 r = root%283%2C+%283%2F4%29%2A132pi%2Fpi%29

 r = root%283%2C99%29 = 4.63 mm (to nearest hundredth of a mm)