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: <em>4π = 4/3*πr³</em>
The π's and the 4 cancel out, which gives us: <em>1 = 1/3r³</em>
This gets us 3 = r³ --> <em>r = ∛3</em> (distance can't be negative)
Now, we can plug that into the equation again: <em>V = 4/3*π(2*√3)³</em>
<em>(2∛3)³ = 24 </em>--> <em>V = 4/3*π*24</em> --> <em>V = 96/3*π </em>--> V = 32π in³
