Disk Method for Volume Calculation

00:00 3 marks

  • Build Confidence
  • SL
  • Tier 1
  • Recall V=π∫[f(x)]² dx
  • Disk method
  • Integral set-up

Consider the function \(f(x) = \sqrt{x}\). Using the disk method, set up the integral expression to find the volume of the solid produced when the region between the curve and the x-axis from \(x = 0\) to \(x = 4\) is rotated about the x-axis.

Hint Hint

Hint

Remember to square the function \(f(x)\) when applying the disk method formula for volume.

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Complete Answer

\(V = \pi \int_{0}^{4} (\sqrt{x})^2\,dx\)

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