Go to content
volume of revolutionFind an area and volume based on the curve y=2e^{-x} between x=0 and x=k

Volume = \int \pi y^2 dx
[Note: there is a small error in this video at about 4.07 minutes in, where a factor of 4 should have been included, not 2.]

Software/Applets used on this page

Video by MidnightTutors
This page displays a video produced by MidnightTutor.com and uploaded to YouTube. Note that many school and college computer networks do not allow access to YouTube videos, so you may have to view this page from a stand-alone computer.

This question appears in the following syllabi:

SyllabusModuleSectionTopicExam Year
AP Calculus AB (USA)4IntegrationVolume of revolution-
AP Calculus BC (USA)4IntegrationVolume of revolution-
AQA A-Level (UK - Pre-2017)C3IntegrationVolume of revolution-
CCEA A-Level (NI)C4IntegrationVolume of revolution-
CIE A-Level (UK)P1IntegrationVolume of revolution-
Edexcel A-Level (UK - Pre-2017)C4IntegrationVolume of revolution-
I.B. Higher Level6IntegrationVolume of revolution-
I.B. Standard Level6IntegrationVolume of revolution-
Methods (UK)M9IntegrationVolume of revolution-
OCR A-Level (UK - Pre-2017)C3IntegrationVolume of revolution-
OCR-MEI A-Level (UK - Pre-2017)C4IntegrationVolume of revolution-
Pre-U A-Level (UK)5IntegrationVolume of revolution-
Scottish Advanced HighersM1IntegrationVolume of revolution-
Scottish (Highers + Advanced)AM1IntegrationVolume of revolution-
Universal (all site questions)IIntegrationVolume of revolution-
WJEC A-Level (Wales)C4IntegrationVolume of revolution-