Sphere

A sphere is a three-dimensional shape that is perfectly round, like a ball. It is a type of solid geometric figure where all points on the surface are equidistant from the center point.

Key Features of a Sphere:

• 3-dimensional shape
• Round and symmetrical
• All points on the surface are equidistant from the center

Formulas and Properties:

The key formulas related to a sphere are:

• Volume of a Sphere: V = (4/3)πr³
• Surface Area of a Sphere: A = 4πr²

Study Guide:

When studying spheres, it's important to understand the following:

1. Definition and characteristics of a sphere.
2. How to calculate the volume of a sphere using the formula V = (4/3)πr³.
3. How to calculate the surface area of a sphere using the formula A = 4πr².
4. Real-life examples of spheres and their applications in the physical world.

Real-life Examples:

Spheres can be found in various real-life objects such as:

• Balls used in sports like basketball, soccer, and tennis.
• Planets and celestial bodies like the Earth and the Sun can be approximated as spheres.
• Bubbles and water droplets are also spherical in shape due to surface tension.