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Make R the subject of the relation V = πl(R\(^2\) - r\(^2\))

Mathematics
WAEC 2024

Make R the subject of the relation V = πl(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 = \(\sqrt{V + πlr^2}\)
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Correct Answer: Option 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 = \(\sqrt{\frac{V}{πl} + r^2}\)


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