Comments on: What is the volume of the solid of revolution generated by revolving R about the x-axis? http://cutframetv.com/x/what-is-the-volume-of-the-solid-of-revolution-generated-by-revolving-r-about-the-x-axis-2 Wed, 23 May 2012 16:36:42 +0000 http://wordpress.org/?v=2.7 hourly 1 By: Ron W http://cutframetv.com/x/what-is-the-volume-of-the-solid-of-revolution-generated-by-revolving-r-about-the-x-axis-2/comment-page-1#comment-9947 Ron W Fri, 23 Oct 2009 07:25:59 +0000 http://cutframetv.com/x/what-is-the-volume-of-the-solid-of-revolution-generated-by-revolving-r-about-the-x-axis-2#comment-9947 Use the method of disks. Draw the region R and a typical disk. This disk has a radius of [e^(-3x/2) - 0] and a thickness of dx. It contribues an increment of volume dV given by dV = πr²dx = π(e^(-3x/2))² dx = π e^(-3x) dx The total volume V is given by 1 ∫ π e^(-3x) dx 0<br><b>References : </b><br> Use the method of disks.

Draw the region R and a typical disk. This disk has a radius of [e^(-3x/2) - 0] and a thickness of dx. It contribues an increment of volume dV given by

dV = πr²dx = π(e^(-3x/2))² dx
= π e^(-3x) dx

The total volume V is given by

1
∫ π e^(-3x) dx
0
References :

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