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anonymous
 4 years ago
Find the volume generated by revolving about the xaxis the area bounded by xy = 9, the xaxis and lines x = 3 and x=9
anonymous
 4 years ago
Find the volume generated by revolving about the xaxis the area bounded by xy = 9, the xaxis and lines x = 3 and x=9

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amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1dw:1324412465826:dw

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1something similar to this right?

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1then we can integrate, or sum up the areas of circles, generated by the function from 3 to 9 i believe

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0May I please see a full work out please?

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1\[\sum_{3}^{4}\pi[f(x)]^2\ \Delta x\] \[\pi \int_{3}^{9}(\frac{9}{x})^2dx\]

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1dw:1324412686951:dw

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1if we take any arbitrary circle created by spinning this about the x axis; we get an area of: pi (y)^2 pi (9/x)^2 the volume generated is then adding up all the circles made from x=3 to x=9

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1are you still stuck? can you not integrate\[\pi\int_{3}^{9}\frac{9^2}{x^2}dx\]? or are you having another problem?

amistre64
 4 years ago
Best ResponseYou've already chosen the best response.1http://www.wolframalpha.com/input/?i=integrate+pi*%289%2Fx%29%5E2+from+3+to+9 18pi looks good to me
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