SOLUTION: a solid cone has the height of 10cm and diameter of 20cm. how many sphere of diameter 2cm can be made by melting it?

Algebra ->  Volume -> SOLUTION: a solid cone has the height of 10cm and diameter of 20cm. how many sphere of diameter 2cm can be made by melting it?       Log On


   

Question 823990: a solid cone has the height of 10cm and diameter of 20cm. how many sphere of diameter 2cm can be made by melting it?
Found 2 solutions by ankor@dixie-net.com, Alan3354:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
a solid cone has the height of 10cm and diameter of 20cm. how many sphere of diameter 2cm can be made by melting it?
:
Let n = no. of spheres made, cone r=10; sphere r=1
n(pi%2A1%5E2) = 1%2F3*pi%2A10%5E2%2A10
multiply both sides 3
3n(pi%2A1) = pi%2A1000
divide both sides by pi
3n = 1000
n = 1000%2F3
n = 333 spheres, with a tiny bit left over

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
a solid cone has the height of 10cm and diameter of 20cm. how many sphere of diameter 2cm can be made by melting it?
---------------
Vol of cone = pi%2A10%2A10%5E2%2F3+=+1000pi%2F3 cc
Vol of spheres = 4%2Api%2A1%5E3%2F3+=+4pi%2F3cc
%281000pi%2F3%29%2F%284pi%2F3%29+=+250 spheres