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Hello. Here is the problem I am currently having difficulties with:

"find the volume of the solid that lies inside the cone z^2 = 3x^2 + 3y^2 and between spheres x^2 + y^2 + z^2 = 1 and x^2 + y^2 + z^2 = 9"

I know that this integral needs to be setup in spherical coordinates... Here is the integral I came up with. I'm not sure if it is correct though...

v = integral from 1 to 3 integral from 0 to 2pie integral from pie/4 to pie/2

p^2 sin(phi) dp d(phi) d(theta)

does this seem correct?

let me try to put it in LaTeX format... (sorry if it dosen't work..)

[tex]V=\int_1^3 \int_0^\Pi \int_\frac{\pi}{4}^\frac{\pi}{2} \rho^2 \sin\phi dpd\phi d\theta[/tex]

"find the volume of the solid that lies inside the cone z^2 = 3x^2 + 3y^2 and between spheres x^2 + y^2 + z^2 = 1 and x^2 + y^2 + z^2 = 9"

I know that this integral needs to be setup in spherical coordinates... Here is the integral I came up with. I'm not sure if it is correct though...

v = integral from 1 to 3 integral from 0 to 2pie integral from pie/4 to pie/2

p^2 sin(phi) dp d(phi) d(theta)

does this seem correct?

let me try to put it in LaTeX format... (sorry if it dosen't work..)

[tex]V=\int_1^3 \int_0^\Pi \int_\frac{\pi}{4}^\frac{\pi}{2} \rho^2 \sin\phi dpd\phi d\theta[/tex]

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