Calculus
Advanced

Volume by Disks

Volume of a solid of revolution about the x-axis.

Formula

V=π∫ab[f(x)]2 dxV = \pi\int_a^b [f(x)]^2\,dx

Variables

f(x)Radius function
a,bBounds

Example

Rotate a curve to make a solid

Did You Know?

The disk method builds a solid from infinitely thin circular slices, exactly how a lathe shapes wood.

integralvolume