<p>Here's the deal. I feel completely prepared for the Calculus exam. BUT there is one concept i just dont understand: Volume of Solids of Revolutions.
Is this an important concept that comes frequently on calculus.( i know it's on it) but are there many questions relating to volumes of solids? also, does Calculus II include any form of those questions. If yes, then i must learn it. BUt if not then, oh well. </p>
<p>thanks.</p>
<p>I don't mean to hijack your thread, but I didn't wanna make a completely new thread for this:</p>
<p>Do we need to show work for the multiple choice sections?</p>
<p>I don't know how often it comes up on the MC, but revolution of solids have popped up quite a bit on the FRQs from what I've seen so far. </p>
<p>And no, you don't need anything on the MC portion except for the answer. They only get your scantron. =)</p>
<p>Yeah, unfortunately volume of solids is a really important topic.
I wish it weren't.... :(</p>
<p>so does the topic come in Calculus II??</p>
<p>You need to know volumes of solids revolved around axis & equations.</p>
<p>I'll give you a little crash course on it.
S refers to the integration symbol</p>
<p>a) basic volume - disk method
V = pi * S f(x)^2 dx where f(x) = the equation given</p>
<p>b) volumes with holes - washer method
V = pi * S R(x)^2 - r(x)^2 dx where R(x) = the equation of the line/parabola,etc farthest away from the rotational axis and r(x) is the equation of the line/parabola,etc closest to the rotational axis</p>
<p>c) volumes with cross sections
V = pi * S f(g(x)) dx, where the f(x) = geometric shape's formula (eg. semicircle - .5<em>pi</em>r^2 or square - s^2) and g(x) = the equation of the line or the graph</p>
<p>If I feel like it, later on I'll post examples of solving volumes using all 3 techniques.</p>
<p>A) <a href="http://mathdemos.gcsu.edu/mathdemos/diskmethod/diskmethod.html%5B/url%5D">http://mathdemos.gcsu.edu/mathdemos/diskmethod/diskmethod.html</a>
B) <a href="http://gcsu211151.gcsu.edu/mathdemos/shellmethod/%5B/url%5D">http://gcsu211151.gcsu.edu/mathdemos/shellmethod/</a>
C) <a href="http://mathdemos.gcsu.edu/mathdemos/sectionmethod/sectionmethod.html%5B/url%5D">http://mathdemos.gcsu.edu/mathdemos/sectionmethod/sectionmethod.html</a></p>
<p>Those have some decent explanations of doing volumes. If you have any questions, feel free to ask me. I could use all the practice I can get.</p>
<p>If you can understand and solve problems requiring these concepts, you should be able to understand just about everything there is in Calc AB.</p>
<p>wow i think its the easiest topic....
i hate rate in rate out haha</p>