Practice Problems
Problem 1: Find the equation of a sphere with center (0, 0, 0) and radius 10.
Problem 2: Calculate the volume of a sphere with radius 3 units.
Problem 3: Determine the surface area of a sphere with radius 12 meters.
Problem 4: Find the equation of a sphere with center (3, -2, 5) and radius 6.
Problem 5: Calculate the surface area of a sphere with radius 9 units.
Problem 6: Determine the volume of a sphere with surface area 324π square units.
Equation of a Sphere
The equation of a sphere defines all points equidistant from its center, given by (x – h)² + (y – k)² + (z – l)² = r², where (h, k, l) is the center and r is the radius. This article provides an in-depth exploration of the equation of a sphere, its properties, applications, and related concepts.
Table of Content
- What is Sphere?
- Equation of Sphere
- General Equation of Sphere
- Parametric Equations of a Sphere
- Geometrical Interpretation of the Equation of a Sphere
- Some other Equations of Sphere
- Surface Area Equation of Sphere
- Volume Equation of Sphere
- Derivation of Equation of Sphere
- Applications of the Equation of a Sphere
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