SOLUTION: A metallic sphere of radius of 21/2 cm is melted down and then recast into small cones of radius 7/2 cm and height 3 cm each.how many of such cones can be made.

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: A metallic sphere of radius of 21/2 cm is melted down and then recast into small cones of radius 7/2 cm and height 3 cm each.how many of such cones can be made.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 330527: A metallic sphere of radius of 21/2 cm is melted down and then recast into small cones of radius 7/2 cm and height 3 cm each.how many of such cones can be made.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A metallic sphere of radius of 21/2 cm is melted down and then recast into small cones of radius 7/2 cm and height 3 cm each.how many of such cones can be made.
----------
The volume of the sphere:
V = 4%2Api%2Ar%5E3%2F3+=+4%2Api%2A10.5%5E3%2F3
V = 1543.5 pi cc
-----------------
Vol of each cone:
v+=+pi%2Ar%5E2%2Ah%2F3+=+pi%2A3.5%5E2%2A3%2F3
v = 12.25 pi cc
------------
1543.5 pi/(12.25 pi) = 126 cones