Question

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

A)r = π/2TV

B)r = 2π/TV

C) r = 2TV/π

D) r = TV/2π

Answer 1

`V =(2\pi r)/(T)\quad|\cdot T\\\\\\TV=2\pi r\quad|:2\pi\\\\\\\boxed{(TV)/(2\pi)=r}`

Answer D.

Answer 2

Option D.

Explanation:

The given volume formula is

`V=(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* T=(2\pi r)/(T)* T`

`VT=2\pi r`

Divide both sides by 2π.

`(VT)/(2\pi )=(2\pi r)/(2)`

`(VT)/(2\pi )=r`

Interchange the sides.

`r=(VT)/(2\pi )`

The formula for r is
`r=(VT)/(2\pi )`.

Therefore, the correct option is D.