SOLUTION: I have a geometry problem and i get lost in the steps. I have to find b in the volume of a cone. The equation is V=1/3(3.14)(r squared) h. Can you please help. r=2b squared h=24

Algebra ->  Circles -> SOLUTION: I have a geometry problem and i get lost in the steps. I have to find b in the volume of a cone. The equation is V=1/3(3.14)(r squared) h. Can you please help. r=2b squared h=24      Log On


   

Question 391542: I have a geometry problem and i get lost in the steps. I have to find b in the volume of a cone. The equation is V=1/3(3.14)(r squared) h. Can you please help. r=2b squared h=24 Can you show me the steps?

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
find b in the volume of a cone.
The equation is V=1/3(3.14)(r squared) h. Can you please help. r=2b squared h=24
%281%2F3%29%2Api%2Ar%5E2%2Ah+=+V
Multiply both sides by 3
pi%2Ar%5E2%2Ah+=+3V
Replace r with 2b^2 and h with 24
pi%2A%282b%5E2%29%5E2%2A24+=+3V
:
pi%2A%284b%5E4%29%2A24+=+3V
pi%2Ab%5E4%2A96+=+3V
Divide both sides by 96%2Api
b^4 = %283V%29%2F%2896pi%29
Reduce fraction
b^4 = V%2F%2832pi%29
Find the 4th root of both sides
b = %28V%2F%2832pi%29%29%5E%281%2F4%29