**What is Sphere?**

A sphere is a geometrical three dimension round object. Sphere is a 3-dimensional circle. Every point on the surface is the same distance from the center. Here, you will learn Sphere | Hemisphere | Properties of Sphere.

A **sphere **is a solid contained by one curved surface which is such that all the points on it are equidistance from a fixed point within it. A fixed point known as **centre**. Any line drawn from the centre to the surface is known as a **radius**.

**Surface Area of Sphere**

The surface area of a sphere is the total area of the surface of a sphere

Surface Area = 4 x π × radius^{2}

Area of Rectangle = 4πr^{2} square units.

**Surface Area of a Sphere by diameter**

d = 2r units

Area = 4π(*d*2)^{2}

=π x d^{2}

**Surface Area = π( d2)^{2}**

Where,

“d” is the diameter

“r” is the radius

**Volume of a Sphere**

The amount of space occupied by the object three-dimensional object called a sphere is known as the volume of the sphere.

Volume = *4*3 x π × radius^{3}

**Equation of a Sphere**

In analytical geometry, the sphere with radius “r”, the locus of all the points (x, y, z) and centre (x0, y0, z0), then the equation of a sphere is given as

(x -x_{0})^{2} + (y – y_{0})^{2} + (z-z_{0})^{2} = r^{2}

**Properties of Sphere**

• The opposite sides of a rectangle are parallel.

• A sphere is perfectly symmetrical

• It is not a polyhedron

• All points on the surface are the same distance “r” from the center

• It has no side or corner

• It has constant mean curvature

• It has a constant width and circumference.

**Hemisphere**

A hemisphere is half of a sphere. A plane through the centre of a sphere divides the sphere into two qual part. Each part is known as **hemisphere **.

Volume = *2*3 x π × radius^{3}

Curved surface Area= 2 x π × radius^{3}

Total surface Area= 3 x π × radius^{3}

I hope, this article will help you lot to understand the **Sphere | Hemisphere | Properties of Sphere**, If you still have any doubts and problems with any topic of mathematics you can ask your problem in the Ask Question section. You will get a reply shortly.

I hope you have learned it properly.

**Related Topic:**

The Right Circular Cone | Properties of Cone

Cylinder | Type of Cylinder | Properties of Cylinder | Formula

Quadrilateral | Types of Quadrilateral | Properties of each Quadrilateral

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