The mass of a sphere can be calculated using its volume and the density of the material it is made of. The formula to calculate the mass of a sphere is:
Mass = Volume x Density
The volume of a sphere is given by the formula:
Volume = (4/3) x π x (radius)^3
Where π (pi) is a mathematical constant approximately equal to 3.14159, and the radius is the distance from the center of the sphere to any point on its surface.
Once you have the volume of the sphere, you can multiply it by the density of the material to find the mass. The density represents the mass per unit volume of the material.
For example, let's say you have a sphere with a radius of 10 centimeters and the material it is made of has a density of 2 grams per cubic centimeter. The calculation would be as follows:
Volume = (4/3) x 3.14159 x (10 cm)^3 ≈ 4.18879 x 1000 cm^3 ≈ 4188.79 cm^3
Mass = Volume x Density = 4188.79 cm^3 x 2 g/cm^3 = 8377.58 grams
Therefore, the mass of the sphere in this example is approximately 8377.58 grams or 8.37758 kilograms.
Remember to use consistent units throughout the calculations. If the density is given in a different unit, you will need to convert it to match the units of the volume for accurate results.