Given that r = 3vπh−−−√ make v the subject of the formula

Assessment: JAMB UTME - Mathematics - 2022 Subject: General Mathematics

Question 1 Report

Given that r = $\sqrt{\frac{3 v}{π h}}$ make v the subject of the formula

v = 3

π r^{2}

h

v =

\frac{π r h}{3}

v =

\frac{π r^{2} h}{3}

v = 3πrh

Answer Details

square both sides to remove the big square root

→ r $^{2}$ = $\frac{3 v}{π h}$

cross multiply

3v = r $^{2}$ * πh

v = $\frac{π r^{2} h}{3}$

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