Sphere Calculator

Sphere Calculator

Sphere calculator is a mathematical tool that is used to calculate the volume and curved surface area of a sphere with the help of the given radius.

What is Sphere?

A sphere is a geometrical shape that has equidistance from the center to every point of the circle. It is a completely round shape and 3D shape.

Formula:

Volume of sphere = (4/3) × π × r³

What is a curved surface area?

For a sphere, the curved surface area is the entire surface area of the sphere. It can be calculated by multiplying 4π (where π is approximately 3.14159) by the square of the radius of the sphere.

Formula:

Curved Surface area of sphere = 4 × π × r²

How to find the volume and surface area of a sphere?

Example 1:

Determine the volume of the sphere of radius = 3

Solution

Step 1:

Volume of sphere = (4/3) × π × r³

Step 2:

Volume of sphere

= (4/3) × (3.142856) × (3)³

= (4/3) × (3.142856) × (27)

= 113.04

Example 2:

Determine the curved surface area of the sphere of radius = 13

Solution

Step 1:

Curved surface area = 4 × π × r²

Step 2:

= 4 × (3.142856) × (13)²

= 4 × (3.142856) × (169)

= 2122.6

Here are a few more results of the volume of a sphere and the curved surface area of the sphere.