Sketch
Volume of a sphere
Formula: 4/3 * Π * r3 = V
Example calculation: 4/3 * Π * 5cm3 = ~523.60 cm3
Surface area of a sphere
Formula: 4 * Π * r2 = O
Π (Pi) = 3.141592
Only 6 decimal places are displayed for Pi here.
Example calculation: 4 * Π *102 = 1256.64cm2
Calculating a sphere - step by step
- Calculate the radius of the sphere: To calculate the volume and surface area of a sphere, you must first determine the radius of the sphere. The radius is simply the distance from the center of the sphere to the outer surface. It can be determined either by measurement or by observation.
- Calculate the volume of the sphere: Once you have found the radius, you can now calculate the volume. To do this, you need to use the following formula: 4/3 * pi * r³ (pi is 3.14 here).
- Calculate the surface area of the sphere: If you now know the volume, you can also calculate the surface area. The formula is 4 * pi * r² (pi is still 3.14).
- Compare your results: Finally, you should compare your results with other sources to make sure that your calculations are correct.