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Make v the subject of the formula from r sqrt f... - JAMB Mathematics 2022 Question

Make v the subject of the formula from r = \( \sqrt \frac{3v}{\pi h} \)

A

v = 3 \(πr^2\) h

B

v = \(\frac{πrh}{3}\)

C

v =  \(\frac{πr^2h}{3}\)

D

v = 3πrh

correct option: c

Given r = \( \sqrt \frac{3v}{\pi h} \)

Square both sides:

r\(^2\) = \(\frac{3v}{πh}\)

cross multiply

3v = r\(^2\) * πh

v = \(\frac{πr^2h}{3}\)

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