Spheres and Spherical Geometry
Examples covering the volumes and surface areas of spheres, shells, and related spherical shapes.
Mathematical Examples: Sphere
Example 1: Basic Sphere Volume
Find the volume of a spherical ball with a radius of .
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Example 2: Intermediate Sphere Surface Area
The surface area of a spherical dome is . What is its radius?
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Example 3: Advanced Composite Sphere Problem
A solid metal cylinder of radius and height is melted down and recast into a single solid sphere. What is the radius of the new sphere?
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