Make R the subject of the relation V = \pil(R\(^2\) - r\(^2\))
A
R = \(\sqrt{\frac{V}{πl} + r^2}\)
B
R = \(\sqrt{\frac{V}{πl} - r^2}\)
C
R = \(\sqrt{V - πlr^2}\)
D
R = \(\sqrt{V + πlr^2}\)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
V = \pil(R\(^2\) - r\(^2\))
Divide both sides by \pil
\(\frac{V}{\pil}\) = (R\(^2\) - r\(^2\))
R\(^2\) = \(\frac{V}{\pil}\) + r\(^2\)
Take the square root of both sides
R = \(\sqrt{\frac{V}{\pil} + r^2}\)
Source: Myschool Past Questions Archive (Record #71777)