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Alekssandra [29.7K]
3 years ago
6

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

Mathematics
2 answers:
inessss [21]3 years ago
7 0

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.

Zielflug [23.3K]3 years ago
3 0
V =\dfrac{2\pi r}{T}\quad|\cdot T\\\\\\TV=2\pi r\quad|:2\pi\\\\\\\boxed{\dfrac{TV}{2\pi}=r}

Answer D.
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