Answer:
Option D.
Step-by-step explanation:
The given volume formula is
[tex]V=\frac{2\pi r}{T}[/tex]
We need to rearrange the given formula for r. It means we have to isolate variable r.
Multiply both sides by T.
[tex]V\times T=\frac{2\pi r}{T}\times T[/tex]
[tex]VT=2\pi r[/tex]
Divide both sides by 2π.
[tex]\frac{VT}{2\pi }=\frac{2\pi r}{2}[/tex]
[tex]\frac{VT}{2\pi }=r[/tex]
Interchange the sides.
[tex]r=\frac{VT}{2\pi }[/tex]
The formula for r is [tex]r=\frac{VT}{2\pi }[/tex].
Therefore, the correct option is D.
