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Sphere Calculator
Enter the radius and hit calculate button to calculate the volume & surface area of the sphere by using 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 × r^{3}
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 × r^{2}
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 × r^{3}
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 × r^{2}
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.
Radius | The volume of a Sphere | The curved surface area of a sphere |
4 | 267.95 | 200.96 |
7 | 1436.0 | 615.44 |
9 | 3052.1 | 1017.4 |
13 | 9198.1 | 2122.6 |
17 | 20569 | 3629.8 |
19 | 28716 | 4534.2 |
21 | 38773 | 5539.0 |
23 | 50939 | 6644.2 |