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Why no pictures in /sci/?

Name: Anonymous 2009-09-02 3:57

Why can't we post pictures in Science and Math?

Name: Anonymous 2009-09-02 3:59

How about a real college math question for once in this board:

Find the area of the surface consisting of the part of the sphere of radius 2 centered at origin that lies above the horizontal plane z = 1. (Equation of this sphere is given by x^2 + y^2 + z^2 = 2^2.)

Name: Anonymous 2009-09-02 14:03


r = 2\\
0 < \theta < \frac{\pi}{6}\\
0 < \phi < 2\pi\\

A = \int r^2 \sin\theta \, \mathrm{d}\left (\theta, \phi\right )\\
= 4\int_0^{2\pi}\left [ \int_0^{\frac{\pi}{6}} \sin\theta\, \mathrm{d}\theta\right ]\,\mathrm{d}\phi\\
= 8\pi\cdot\left (-\frac{1}{2}\sqrt{3}+1)\\
\approx 3.37

Name: =^_^=Furry=^_^= !j5bbaJ/5hM 2009-09-02 17:02

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Name: Anonymous 2009-09-02 17:45

>>2
1/2 * 4Pi r^2 = 8Pi

dur?

Name: Anonymous 2009-09-02 19:18

>>5
Fail. The plane is at z=1, not at z=0.

Name: Anonymous 2009-09-02 19:34

>>2
Volume = \int_1^2 \pi (4-z^2) dz = whatever.

Name: Anonymous 2009-09-02 22:55

>>4


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Name: Anonymous 2009-09-03 13:50

>>5 and >>7, >>3 has already given the solution...

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