Answer:
288π m^3
Explanation:
Since the surface area of a sphere is 4πr^2, you need to first simplify the surface area to get the radius:
144π = 4πr^2
144/4π --> 36 = πr^2
√36π ---> 6π = πr
6π
We can stop with 6π since the final answer wants it in terms of π.
Next, lets get the volume of the sphere, using the equation 4/3 πr^3
6π = πr
216π = πr^3
288π = 4/3 πr^3
Your final answer is: 288π m^3