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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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Explanation Video

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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC offline past questions - with all answers and explanations in one app - Download for free
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts