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integrals by washers methods

faizi
in Analysis and Calculus

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i have a problems,i hope that u can help me to solve it

 

the question ask to find the volume using integrate

 

find the volume of the solids that results when the region enclosed by y=squareroot x , y=0 and x=9 is revolved about the line x=9

 

 

 

:confused:

Eaay! It's all in the imagination of your brain.

First try to graph all the equations in one graph.

THen rotate the resulting shape 360 degrees around the x=9 line. It should look like an upside-down bowl.

And then use the washer method(your washers should be horizontal) to calculate for the volume of the solid.

I could say more but you should learn to think for yourself. That's why I gave you a little starting point on how to approach these type of integration problems. The calculations you should be able to figure out.

Good luck!

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