Answer:
D) 32π in³
Step-by-step explanation:
First, we find out what r is.
We can do that because we know the area when the radius is r.
This equation can be made: 4π = 4/3*πr³
The π's and the 4 cancel out, which gives us: 1 = 1/3r³
This gets us 3 = r³ --> r = ∛3 (distance can't be negative)
Now, we can plug that into the equation again: V = 4/3*π(2*√3)³
(2∛3)³ = 24 --> V = 4/3*π*24 --> V = 96/3*π --> V = 32π in³
