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
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
square both sides to remove the big square root
→ r\(^2\) = \(\frac{3v}{πh}\)
cross multiply
3v = r\(^2\) * πh
v = \(\frac{πr^2h}{3}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #64274)