HOW TO:

derive the formula of a ZONE of a SPHERE???

October 12, 2015 - 9:55am

#1
zone of a sphere

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- Differential Equations: (6x-3y+2)dx - (2x-y-1)dy = 0
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- Families of Curves: family of circles with center on the line y= -x and passing through the origin
- Differential Equation: Eliminate C1, C2, and C3 from y=C1e^x+C2e^2x+C3e^3x

- Pa answer nga po tnx
- Differential Equation
- Physics
- Application of Differential Equation: mixture problem
- Arbitrary constant
- Homogeneous equations- general solution
- What am I missing when I rotate a tripod leg 45 degrees to solve for loads
- Families of Curves: family of circles with center on the line y= -x and passing through the origin
- Differential Equation: Eliminate C1, C2, and C3 from y=C1e^x+C2e^2x+C3e^3x
- Elimination of arbitrary constant: Y=C-ln x/x

I think integration will do, I did not try it though. Here is the derivation of total surface area of the sphere by integration: http://www.mathalino.com/reviewer/derivation-formulas/derivation-formula-total-surface-area-sphere-integration.

It is interesting to note that the area of spherical zone, $A = 2\pi rh$ will become area of the sphere if $h = 2r$.