Interactive Math Resources for Classroom Discussion, Inquiry and Distance Learning

Volume of Revolution Visual

A ‘volume of revolution’ is the calculation to compute the volume of a solid formed when a curve is rotated around an axis over a specified domain.

In the following applet, the function $f$ is defined on the domain $a \leq x \leq b$ .

Use the angle alpha to rotate the curve 360 degrees around the $x$ axis.

These other functions work well on the axes given:

$\sqrt{x}$ (type in sqrt(x) to the input box)

$\sqrt{x+2}$

$\sin(x)+3$

$2\sin(x)$

$2\sin(x)+1$

your own….

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