Properties of Sphere

The following are the properties of a sphere:

  • It has no vertex or edge.
  • This is not a polyhedron.
  • All of the points in the sphere have the same distance to the center.
  • It has a curved face, not a flat face.
  • It is perfectly symmetrical.

Comparison between Circle and Sphere

CircleSphere
A circle exists in a two-dimensional shape. A sphere is a three-dimensional shape. 
A circle can only extend in two directions, which are the x-axis and the y-axis. It extends in all three directions, which are the x-axis, y-axis, and z-axis.
It does not have any volume.It has volume because it occupies some space.
The area of a circle is πr2 square units.The surface area of a sphere is 4πr2 square units.

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Sphere Formulas

The sphere is a round 3D object. Unlike other 3D shapes, the sphere has no vertices or edges. The distance from the center of the sphere to any point on the surface is the same.  In geometry, a sphere is a three-dimensional figure with a round shape. From a mathematical point of view, it is a combination of a set of points connected by common points equidistant in three dimensions. Examples of spheres include basketball, soap bubbles, and tennis balls.

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Sphere Formulas

There are three main formulas for a sphere, including formulas for the diameter of the sphere, the surface area of ​​the sphere, and the volume of the sphere. All of these formulas are listed in the table below....

What is the Surface Area of a Sphere?

The area covered by the outer surface of the sphere is called the surface area of the sphere. A sphere is a three-dimensional shape of a circle. The main difference between a sphere and a circle is that a circle has a two-dimensional (2D) shape whereas a sphere has a three-dimensional shape....

What is the Volume of the Sphere?

The volume of a sphere is the space occupied by the interior of the sphere. Draw a semicircle on a piece of paper and rotate it 360 degrees to make a sphere. There are two types of spheres which are Solid spheres and hollow spheres. The volumes of the two types of spheres are different. In the next section, we will learn about volumes....

Hemisphere

Hemisphere is half of the sphere. In another word, if a sphere is cut into two symmetrical pieces through the center then it is called a hemisphere. Because it is half of a sphere then the volume and surface area are half of the volume and surface area of a sphere....

Properties of Sphere

The following are the properties of a sphere:...

Sample Questions on Sphere Formulas

Question 1: A baseball is 80mm in diameter. Find the baseball’s volume. (π=3.14)...

Practice Problems on Sphere Formulas

Problem 1: Calculate the surface area of a sphere with a radius of 5 cm....

FAQs on Sphere Formulas

What is Sphere?...