It is difficult to explain how the formula for calculating the surface area of the sphere was discovered. Anyway, use the formula (4πr2) is really simple.
Steps
Step 1. Calculate the radius
If you know the diameter, divide it by 2 and you will have the radius measurement.
If you know the volume, divide by π, multiply by 3, divide by 4, and take the cube root.
Step 2. Square it
That is, it multiplies by itself.
Step 3. Multiply by 4
Step 4. Multiply by π
If the problem requires the 'exact value' write the symbol π after your number and that's it. Alternatively use 3.14 or the π button on your calculator.
Example
r = 5
52=25
25×4=100
100π or 314, 2
Advice
If the radius includes the square root, such as √5, remember that the coefficient squares and the radical becomes regular. (3√5)2 becomes 9 × 5 which is 45.
Calculating the surface area of a box or container is a very simple process, if you know the measurements of the individual sides. Once you have this information, you simply need to use the correct equation to get the desired result. By carrying out some simple measurements it is even possible to calculate the surface area of a cylindrical box.
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