(adsbygoogle = window.adsbygoogle || []).push({}); Find the volume of the portion of cone z^2 = x^2 + y^2 bounded by the planes z = 1 and z = 2 using spherical coordinates

I am having trouble coming up with the limits

Relevant equations

dV = r^2*sin(theta)*dr*d(theta)*d(phi)

r = sqrt(x^2+y^2+z^2)

the problem is actually 2 parts, the 2nd part asks to evaluate by cylindrical coordinates and I obtain 7pi/3 which i know is right, I just cant come up with the limits

Attempt

for r i have from sqrt2 to 2sqrt2

for theta i have from 0 to pi/4

and for phi i have from 0 to 2pi

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# Find the volume of a cone using spherical coordinates

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