To find the volume of a sphere with a circumference of 20π, we first need to find its radius.
The formula for the circumference of a sphere is C = 2πr, where C is the circumference and r is the radius.
Therefore, we can rearrange this formula to solve for the radius:
r = C/(2π) = 20π/(2π) = 10
Now that we know the radius is 10, we can find the volume of the sphere using the formula:
V = (4/3)πr^3
Substituting r = 10 into this formula, we get:
V = (4/3)π(10)^3 = (4/3)π(1000) = 4000π/3
So, the volume of the sphere is 4000π/3, which is approximately equal to 4188.79 cubic units.