SOLUTION: A wooden cube with a volume of 45cm^3 is carved into the largest sphere poSsible,what is the volume of wood which must be carved off

Algebra ->  Volume -> SOLUTION: A wooden cube with a volume of 45cm^3 is carved into the largest sphere poSsible,what is the volume of wood which must be carved off       Log On


   

Question 855466: A wooden cube with a volume of 45cm^3 is carved into the largest sphere poSsible,what is the volume of wood which must be carved off
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A wooden cube with a volume of 45cm^3 is carved into the largest sphere poSsible,what is the volume of wood which must be carved off
--------
s = side length of cube = diameter of the sphere = root%283%2C45%29
------
Vol of sphere = 4pi%2Ar%5E3%2F3
r = root%283%2C45%29%2F2
Vol of sphere = 4pi%2A%2845%2F8%29%2F3+=+15pi%2F2
Carved off = the difference
= 45+-+15pi%2F2 cc