sydneyw
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For positive a and h, let A designate the region of R3 enclosed by the elliptic hyperboloid, x2 +y2 -z2 =a2 and the two planes, z= -h/2 and z=h/2.
Determine the volume of A
So I figure this will be a triple integral in cylindrical coordinates. the first integrand being from -h/2 to h/2, the second from 0 to 2∏ and the third is a transformation to r.
The equation to integrate would be my elliptic hyperboloid equation, correct? So that would look something like r2cos2(θ) +r2sin2(θ)-z2 rdrdθdz...right?
I'm confused on how to go about this problem so I told you what I was able to figure out on my own. Could someone PLEASE explain how I do this?
Determine the volume of A
So I figure this will be a triple integral in cylindrical coordinates. the first integrand being from -h/2 to h/2, the second from 0 to 2∏ and the third is a transformation to r.
The equation to integrate would be my elliptic hyperboloid equation, correct? So that would look something like r2cos2(θ) +r2sin2(θ)-z2 rdrdθdz...right?
I'm confused on how to go about this problem so I told you what I was able to figure out on my own. Could someone PLEASE explain how I do this?