1570/3 in terms of pi is [tex] \frac{500\pi}{3} [/tex]. That's our given volume. It just make it easier to me since there is a pi in the volume formula for a sphere, which is [tex] V=\frac{4}{3}\pi r^3 [/tex]. Replacing the V with our given volume the formula looks like this: [tex] \frac{500\pi}{3} =\frac{4}{3}\pi r^3 [/tex]. If we start by mulitplying both sides by 3, the 3's in both denominators cancel out leaving us with [tex] 500\pi =4\pi r^3 [/tex]. We divide both sides by 4pi and the pi's cancel out anyways. [tex] \frac{500\pi}{4\pi} =r^3 [/tex]. Doing that division you get [tex] r^3=125 [/tex]. Taking the cubed root of 125 gives us that the radius is 5. So your answer is 5.
