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Aladdin
Aladdin
2:40 PM
@MartinSleziak hi i need some help again
for that integral,I am supposed to find volume between $x^2$+$y^2$=$a^2$ and praboloid $x^2$+$y^2$=z and plane z=0
In the region, I easily get $/theta$ from (0, 2π)
z from (0, $a^2$)
Any hint for r?
I feel r is from (0, √z)
 
 
1 hour later…
Martin Sleziak
Martin Sleziak
4:00 PM
@Aladdin I'd say that $r$ goes from $\sqrt z$ to $a$. You want the points outside of the paraboloid and still inside the cylinder.
Of course, you could also calculate the volume inside the cylinder and the volume inside the paraboloid and then subtract the results.
 

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