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

Mathematics
JAMB 2022

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
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Correct Answer: Option C
Explanation

square both sides to remove the big square root

→ r\(^2\) = \(\frac{3v}{πh}\)

cross multiply

3v = r\(^2\) * πh

v = \(\frac{πr^2h}{3}\)

There is an explanation video available below.

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