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 0.15 m0.15\text{ m}.

Step-by-Step Solution

0 of 2 Steps Completed
1

Example 2: Intermediate Sphere Surface Area

The surface area of a spherical dome is 100π m2100\pi \text{ m}^2. What is its radius?

Step-by-Step Solution

0 of 2 Steps Completed
1

Example 3: Advanced Composite Sphere Problem

A solid metal cylinder of radius 6 cm6\text{ cm} and height 8 cm8\text{ cm} is melted down and recast into a single solid sphere. What is the radius of the new sphere?

Step-by-Step Solution

0 of 3 Steps Completed
1