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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- Family of Plane Curves
- Decimal Fractional Parts of Dim's on Hypotenuses of Dissimilar Right Triangles
- Acceleration of Riged body (flyweight) with forces
- Cables and Arches
- Trigo sin cos tan sec csc cot
- Arithmetic sequence
- Round off 314.587321 into four significant figures
- algebra 1
- Concavity calculus
- Problem 126 explanation please

- Family of Plane Curves
- Acceleration of Riged body (flyweight) with forces
- Trigo sin cos tan sec csc cot
- Concavity calculus
- Problem 126 explanation please
- Finding the sum of sequence
- Decimal Fractional Parts of Dim's on Hypotenuses of Dissimilar Right Triangles
- Product of Areas of Three Dissimilar Right Triangles
- Area of Right Triangle Using Radius of Incircle
- The Formula for the Curve of a Trumpet Bell

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 $h = 2r$.