A sphere is a three-dimensional geometric object that looks like the surface of a ball. It is similar to a circle in a two-dimensional space. The sphere and a circle are different from each other in terms of their dimensions; that is, a circle is a two-dimensional flat surface, but a sphere is a three-dimensional shape with some volume. Thus, the area of a circle is different from the surface area of sphere. In general, a sphere is defined mathematically as a set of points that are all at the same distance ‘r’ from a given point in a three-dimensional space. This distance is known as the radius of a sphere, and the line passing through the center of the circle, while both ends are on the circle is known as its diameter.Surface Area of a Sphere
The surface area of a sphere is equal to the area of the entire face surrounding it. It is the region occupied by the outer surface of this three-dimensional shape. The formula for calculating the total surface area of a sphere in terms of pi (π) is given by the following formula:
Surface area = 4 π r² square units.
From a visual perspective, a sphere has a three-dimensional structure that forms by rotating a disc that is circular with one of the diagonals. Let us consider an example of painting a spherical ball face. In order to paint its whole surface, the quantity of paint needed has to be known in advance. Therefore, the area of every face of a spherical ball has to be known to determine the paint quantity for painting. This term used to define this value is known as the total surface area.Surface Area of a Sphere Formula
The surface area of a sphere formula is given by, A = 4 π r² square units, where r is the radius of the circle. By using the volume of sphere formula, we can calculate the volume of a sphere, V = 4⁄3πr³, Where V is the volume and r is the radius.Examples of Surface Area of a Sphere
There are several common objects that are shaped in a spherical form; for example, the spheres are found in almost every sport, from football to basketball. Some of the examples of spheres in the field of sports are baseball, cricket ball, volleyball, and so on. It is even used in many toys for kids. So the sphere is a curved shape highly close to every child’s life. Here are some examples of spheres in real life, along with the importance of their surface area.
- The surface area of a sphere is applied to determine the quantity of paint required for the spherical surfaces, like all these spherical objects that include balls and other toys.
- Planets are an example of spheres with diameter and radius. All of the planets are spherical in shape as they rotate. The rotation distributes their mass through centrifugal force. However, since the mass in the equatorial plane is more, it tends to pull mass from the poles. As a result, Earth has the shape of a flattened sphere. The surface area of earth formula is applied to calculate the surface area and other dimensions of planets and other spheres in space.
- Eyeballs are also examples of spheres in real life. Fruits like melons, oranges, and various others are all examples of spheres in real life.
Learning the concept of the surface area of a sphere is highly important as this shape has significance in real life, from some common things to advanced objects. Therefore, there are various ways to improve a child’s understanding and knowledge of spheres and ways to calculate their surface area, like geometry worksheets to implement the constant practice of these concepts and facts. You can also find some of the interesting games and interactive worksheets to practice concepts based on spheres at Cuemath.com.