012 Sphere circumscribed about a right circular cylinder

Tags: 
cylinder
sphere
circular cylinder
volume of the sphere
surface area of the sphere
circumscribing sphere

Example 012
Find the volume and total area of the sphere which circumscribes a cylinder of revolution whose altitude and diameter are each 6 inches.
 

Solution 012

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Comments

Submitted by Guest (guest) on May 16, 2012 - 6:19pm

Good Day! Will you tell me how the formula for the volume of the sphere is derived and also for the formula of the total surface area? thanks!!

Submitted by Romel Verterra on May 16, 2012 - 9:12pm

See this:
1. Volume of sphere by integration.
2. Surface area of the sphere by integration

You can also find the formulas for volume and surface area of the sphere by Pappus' theorem.

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