volume of a solid of revolution

Related Overviews


'volume of a solid of revolution' can also refer to...


More Like This

Show all results sharing this subject:

  • Mathematics


Show Summary Details

Quick Reference

Let y=f(x) be the graph of a function f, a continuous function on [a, b], and such that f(x)≥0 for all x in [a, b]. The volume V of the solid of revolution obtained by rotating, through one revolution about the x-axis, the region bounded by the curve y=f(x), the x-axis and the lines x=a and x=b, is given by

Parametric form

For the curve x=x(t), y=y(t) (t ϵ [α, β]), the volume V is given by

Subjects: Mathematics.

Reference entries

Users without a subscription are not able to see the full content. Please, subscribe or login to access all content.