NECO 2022 · Paper 1 · Q31

Given that V=13πr2(2r+h)V = \frac{1}{3}\pi r^2 (2r + h), make hh the subject of the formula.

Worked solution (try it first)
  1. Multiply both sides by 3: 3V=πr2(2r+h)3V = \pi r^2 (2r + h).
  2. Divide both sides by πr2\pi r^2: 3Vπr2=2r+h\dfrac{3V}{\pi r^2} = 2r + h.
  3. Subtract 2r2r: h=3Vπr2−2rh = \dfrac{3V}{\pi r^2} - 2r, option B.

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