How do you prove the surface area of a sphere?

The steps to calculate the surface area of a sphere is:

Step 1: Know the radius of the sphere.
Step 2: Take the square of the radius by multiplying it by itself.
Step 3: Multiply r2 by 4.
Step 4: Multiply the value of 4r2 by the approximate value of pi, that is, 3.14.
Step 5: At last, add the units to the final answer.

How did Archimedes prove the surface area of a sphere?

Archimedes found that the volumes of the blue rings added up to the volume of a cone whose base radius and height were the same as the cylinder’s. Archimedes also proved that the surface area of a sphere is 4πr2.

What is a real life example of surface area?

Example 5. You could use surface area of a cylinder to find out how much paint you would need to paint a fuel tank. You could use surface area to find the amount of wrap needed for a bale.

Why does a sphere have the least surface area?

The sphere is perfectly symmetrical, and has the smallest ratio of surface area to volume of any three-dimensional shape. The internal and external forces at work within and around these structures force them to assume the shape that has the smallest possible surface area for the volume contained, which is a sphere.

What is the surface area of a ball?

4πr2
Therefore, the Surface Area of a Sphere with radius r equals 4πr2 .

Who discovered area of sphere?

mathematician Archimedes
The Greek mathematician Archimedes discovered that the surface area of a sphere is the same as the lateral surface area of a cylinder having the same radius as the sphere and a height the length of the diameter of the sphere. The lateral surface area of the cylinder is 2πrh where h=2r .

Where can you find a sphere in real life?

Examples of sphere include:

Ball.
Planets.
Moon.
Sun.
Eyeball.
Orange.
Marbles.

What are some real life applications of area?

What real-life situations require us to use area? ▫ Floor covering, like carpets and tiles, require area measurements. Wallpaper and paint also call for area measurements. Fabric used for clothing and other items also demand that length and width be considered.

Why does a sphere have the smallest surface area?