Calculus II: Surface of revolution

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In this video, we discuss how to compute the surface area of a curve rotated about a line.

00:00 - Introduction
00:18 - Definition
00:56 - Surface area about x and y axis
03:35 - Example 1
06:29 - Surface area involving parametric equations
08:05 - Example 2
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Hi I have a question for example one, in the formula for a rotation about the Y-axis it includes a square root but I didn't see you do that, am I missing something?

charlottehuber
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That was a great video but I don’t see you using the x that’s supposed to be on 2pi(x)instead you just used 2pi. Is there a reason why?

tiyamikemwathunga
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Should the answer be 4pi for example 1?

bsolis