SOLUTION: The circumference of the sphere is 26 meters. Find the volume. I don't know how to find the volume with only the circumference given?

Algebra ->  Volume -> SOLUTION: The circumference of the sphere is 26 meters. Find the volume. I don't know how to find the volume with only the circumference given?      Log On


   



Question 414011: The circumference of the sphere is 26 meters. Find the volume.
I don't know how to find the volume with only the circumference given?

Found 2 solutions by Alan3354, ewatrrr:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the radius
C = 2*pi*r = 26
r = 13/pi
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Vol+=+4%2Api%2A%2813%2Fpi%29%5E3%2F3
V+=+4%2A13%5E3%2Api%5E2%2F3+=+8788pi%5E2%2F3 cubic meters
V =~ 28911 cu meters

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Note: C(sphere) = 2pir and V(sphere) = (4/3)pir^3
V(sphere) = (4/3)pir^3 OR V(sphere) = (2/3)(2pir)*r^2
Question States:
2pir = 26m, therefore, V = (2/3)*26r^2 = 52/3r^2