Answer:
Step-by-step explanation:
The formula for the volume of a sphere is
[tex]V=\frac{4}{3}\pi r^3[/tex] In order to use this formula we have to have a value for the radius and right now we don't. But we can find it indirectly by using the circumference formula. The circumference formula is
[tex]C=2\pi r[/tex] If the circumference is 20π, then we will fill that in for "C" and solve for r:
20π = 2πr and if you divide both sides by 2π, you'll get that r = 10. Now we have a radius.
Using that in the volume formula:
[tex]V=\frac{4}{3}\pi (10)^3[/tex] and then simplifying a bit:
[tex]V=\frac{4}{3}\pi (1000)[/tex] and
[tex]V=\frac{4000\pi}{3}[/tex] which divides to give you
[tex]V=1333.33\pi[/tex], third choice down.
