Question

Rearrange the formula V = 2πr/T for r.

Answer 1

Answer:

Option D.

Step-by-step explanation:

The given volume formula is

$V=\frac{2\pi r}{T}$

We need to rearrange the given formula for r. It means we have to isolate  variable r.

Multiply both sides by T.

$V\times T=\frac{2\pi r}{T}\times T$

$VT=2\pi r$

Divide both sides by 2π.

$\frac{VT}{2\pi }=\frac{2\pi r}{2}$

$\frac{VT}{2\pi }=r$

Interchange the sides.

$r=\frac{VT}{2\pi }$

The formula for r is $r=\frac{VT}{2\pi }$.

Therefore, the correct option is D.

Answer 2

$V =\dfrac{2\pi r}{T}\quad|\cdot T\\\\\\TV=2\pi r\quad|:2\pi\\\\\\\boxed{\dfrac{TV}{2\pi}=r}$

Answer D.