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Math Help - find the volume

  1. #1
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    find the volume

    The region enclosed by the cone z2 = x2 + y2 between the planes z = 5 and z = 7
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  2. #2
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    Quote Originally Posted by Naseef View Post
    The region enclosed by the cone z2 = x2 + y2 between the planes z = 5 and z = 7
    Okay, what is your difficulty? That looks like a pretty easy question. I would be inclined to use cylindrical coordinates because then z^2= x^2+ y^2 becomes just z= r.
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  3. #3
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    the answer

    the book say the answer is 228.28 but i never came out with this answer
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  4. #4
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    Here it is in spherical. You did not state if you had to use a particular method.

    \int_{0}^{2\pi}\int_{0}^{\frac{\pi}{4}}\int_{5sec{  \phi}}^{7sec{\phi}}{\rho}^{2}sin{\phi} \;\ d{\rho}d{\phi}d{\theta}
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  5. #5
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    Quote Originally Posted by Naseef View Post
    the book say the answer is 228.28 but i never came out with this answer
    I ask again- what is your difficulty? You say you did not come out with 228.28. Well, good for you- the answer is NOT 228.28! Did you come out with something? Please show what you did.

    (I think the problem is far simpler in cylindrical coordinates than spherical coordinates.)
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  6. #6
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    (I think the problem is far simpler in cylindrical coordinates than spherical coordinates.)

    Yes, it is indeed. Just showing another way to do it.
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  7. #7
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    my answer

    456.58 could you please show the limit in cylindical coordiate so that i cam compare with my answer plz?
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