Given that r = \( \sqrt \frac{3v}{\pi h} \), make v the subject of the
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
Correct Answer: C. v = \(\frac{πr^2h}{3}\)
Explanation
square both sides to remove the big square root
→ r\(^2\) = \(\frac{3v}{πh}\)
cross multiply
3v = r\(^2\) * πh
v = \(\frac{πr^2h}{3}\)
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