SOLUTION: 12 solid spheres of the same size are made by melting a solid metalic cylinder of base diameter 2 cm and height 16 cm the diameter of each sphere is ?

Algebra ->  Bodies-in-space -> SOLUTION: 12 solid spheres of the same size are made by melting a solid metalic cylinder of base diameter 2 cm and height 16 cm the diameter of each sphere is ?      Log On


   

Question 872734: 12 solid spheres of the same size are made by melting a solid metalic cylinder of base diameter 2 cm and height 16 cm the diameter of each sphere is ?
Answer by ben720(159) About Me  (Show Source):
You can put this solution on YOUR website!
First, find the volume of the cylinder
V=pi%2Ar%5E2%2Ah
V=pi%2A1%2A16
{{V=16pi}}}
Divide by 12 to get each sphere
v=4%2F3%2Api
Use the sphere volume formula
v=4%2F3%2Api%2A%28d%2F2%29%5E3
4%2F3%2Api=4%2F3%2Api%2A%28d%2F2%29%5E3
Divide both sides by 4/3*pi
1=%28d%2F2%29%5E3
Find the cubic root of both sides.
1=d%2F2
Multiply both sides by 2
2=d

2 CM