Given that r = \( \sqrt \frac{3v}{\pi h} \), make v the subject of the formula

  • A v = 3 \(πr^2\) h
  • B v = \(\frac{πrh}{3}\)
  • C v =  \(\frac{πr^2h}{3}\)
  • D v = 3πrh
jamb 2022mathematics

The correct answer is C. v =  \(\frac{πr^2h}{3}\)

square both sides to remove the big square root

→ r\(^2\) = \(\frac{3v}{πh}\)

cross multiply

3v = r\(^2\) * πh

v = \(\frac{πr^2h}{3}\)

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