JAMB Mathematics 2022 Paper

Concept:To make $v$ the subject, eliminate the square root first, then rearrange the equation to isolate $v$.Explanation:The given formula is:$$r = \sqrt{\frac{3v}{\pi h}}$$Square both sides to remove the square root:$$r^{2} = \frac{3v}{\pi h}$$Multiply both sides by $\pi h$ to clear the fraction:$$\pi h r^{2} = 3v$$Rewrite the left-hand side in standard order:$$3v = \pi r^{2} h$$Divide both sides by $3$ so that $v$ stands alone:$$v = \frac{\pi r^{2} h}{3}$$This is the required expression with $v$ as the subject of the formula.Answer:$$v = \frac{\pi r^{2} h}{3}$$