How to Calculate the Surface Area of the Sphere

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How to Calculate the Surface Area of the Sphere
How to Calculate the Surface Area of the Sphere
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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.

    Find the Surface Area of a Sphere Step 1Bullet1
    Find the Surface Area of a Sphere Step 1Bullet1
  • If you know the volume, divide by π, multiply by 3, divide by 4, and take the cube root.

    Find the Surface Area of a Sphere Step 1Bullet2
    Find the Surface Area of a Sphere Step 1Bullet2
Find the Surface Area of a Sphere Step 2
Find the Surface Area of a Sphere Step 2

Step 2. Square it

That is, it multiplies by itself.

Find the Surface Area of a Sphere Step 3
Find the Surface Area of a Sphere Step 3

Step 3. Multiply by 4

Find the Surface Area of a Sphere Step 4
Find the Surface Area of a Sphere Step 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.

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