JAMB - Mathematics (2022 - No. 16)
Given that r = \( \sqrt \frac{3v}{\pi h} \), make v the subject of the formula
v = 3 \(πr^2\) h
v = \(\frac{πrh}{3}\)
v = \(\frac{πr^2h}{3}\)
v = 3πrh
Explicació
square both sides to remove the big square root
→ r\(^2\) = \(\frac{3v}{πh}\)
cross multiply
3v = r\(^2\) * πh
v = \(\frac{πr^2h}{3}\)