Chapters

Spherical Surface
Sphere
Surface Area of a Sphere
Volume of a Sphere
Examples

The sphere is a very common 3-dimensional geometrical shape. The common use of sphere is outdoor games like cricket, baseball, football, and many more. In fact, this shape isn't a polyhedron which makes it more interesting. That is why we dedicated this resource to spheres.

The best Maths tutors available

Spherical Surface

A spherical surface is a surface generated by rotating a circle about its diameter. In simple words, imagine a line and then fix one end of the line and rotate the other point. The object you will create will be a circle and the whole figure would be called the spherical surface.

Sphere

A sphere is the region of the space that is inside a spherical surface. Imagine a baseball, the even roundness of the shape makes it special. Because of the even roundness, the radius and diameter of the shape will be the same. The centre of gravity acts at any point unlike oval or other round shapes. You can't call it a polyhedron because it doesn't have sides. You must be wondering then what does it have? The answer is arcs.

Like every geometrical shapes, a sphere also has some components that are very important. Let's talk about its components.

Centre

The centre is the interior point that is equidistant to all points on the surface of the sphere.

Radius

The distance from the centre to any point on the surface of the sphere.

Diameter

The diameter is the distance from one point through the centre to another point.

Surface Area of a Sphere

At this point, you know what is a spherical surface. To find the surface area of a sphere, we will need the help of the spherical surface. To find the spherical surface, we used the radius and we need to rotate the radius at $\text{[math]}$ to form a circle. Below is the formula for calculating the surface area of a sphere:

$\text{[math]}$

Volume of a Sphere

Volume means that the total space occupied by the sphere. To calculate the volume of the sphere, you need to use the formula given below:

$\text{[math]}$

Examples

A cube with an edge of 20 cm is filled with water. Would this amount of water fit in a sphere with a 20 cm radius?

$\text{[math]}$ $\text{[math]}$

Yes, the amount of water inside of the cube can be easily fitted in the sphere!

Calculate the area and the volume of a sphere inscribed in a cylinder with a height of 2 m.

$\text{[math]}$ $\text{[math]}$ $\text{[math]}$

Calculate the area of the circle resulting from cutting a sphere of 35 cm radius by a plane whose distance from the center of the sphere is 21 cm.

Apply the Pythagorean theorem.

$\text{[math]}$ $\text{[math]}$

Did you like this article? Rate it!

4.00 (5 rating(s))

Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.

Sphere

Spherical Surface