Make R the subject of the relation V = πl(R\(^2\) – r\(^2\))
-
R = \(\sqrt{\frac{V}{πl} + r^2}\)
- R = \(\sqrt{\frac{V}{πl} - r^2}\)
- R = \(\sqrt{V - πlr^2}\)
- R = \(\sqrt{V + πlr^2}\)
The correct answer is: A
Explanation
V = πl(R\(^2\) - r\(^2\))
Divide both sides by πl
\(\frac{V}{πl}\) = (R\(^2\) - r\(^2\))
R\(^2\) = \(\frac{V}{πl}\) + r\(^2\)
Take the square root of both sides
R = \(\sqrt{\frac{V}{πl} + r^2}\)