Answer:
(125/6)π units³
Step-by-step explanation:
The formula for the surface area of a sphere is A = 4πr². Solving this for r² yields:
A
r² = ------
4π
and in this case r² is:
25π
r² = ---------, or 25/4 units²
4π
Thus, the radius, r, is 5/2 units.
The volume of a sphere of radius r is V = (4/3)πr³ units³
Here, that volume is V = (4/3)π(5/2)³ units³
4π 125 units³
= ------ · ------------------ = (125/6)π units³
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