How to Find and Calculate the Weight of a Sphere

The same sized spheres with unlike densities will weigh differently.
••• Photos.com/Photos.com/Getty Images

A sphere's weight can be found through means other than scales. A sphere is a three-dimensional object with properties derived from the circle — such as its volume formula, 4/3 * pi * radius^3, which has both the math constant pi, the ratio of a circle's circumference to its diameter, which is approximately 3.142, and a radius, the distance from the center to the sphere's edge, based on the circle's radius. With the sphere's volume, you can find its weight by the sphere's density, a ratio of weight-to-volume, without having to weigh anything.

    Cube the sphere's radius and then multiply it by 4/3pi to calculate its volume. For this example, let the radius be 10 cm. Cubing 10 cm results in 1,000 cm^3, and multiplying 1,000 by 4/3pi results in approximately 4,188.79 cm^3.

    Find the density of the sphere. In this example, let the density be 100 mg/cm^3.

    Multiply the sphere's volume by its density to calculate its weight. Concluding this example, 4,188.79 cm^3 multiplied by 100 mg/cm^3 results in 418,879 mg.

    Tips

    • Spheres that are real and small enough can also be weighed on conventional scales.

Related Articles

How to Find Density
How to Calculate the Mass of a Solid
How to Calculate the Volume and Circumference of a...
How to Find the Volume of a Sphere in Terms of Pi
How to Determine Density
How to Calculate Mole Fractions Using Mass Percent
Difference Between Density & Mass
How to Calculate Volume From Centimeters
How to Find the Radius of a Sphere When Given the Volume
How to Calculate Sphere Size
Density to Molarity Conversion
How to Calculate Particle Concentration
How to Find the Radius of a Cone
How to Find the Cross Sectional Area of a Pipe
What Is the Difference Between Mass, Weight and Volume?
Conversion of LBM to Gallons
How to Calculate Weight Per Linear Foot
How to Calculate the Height of a Cone From the Volume
How to Find Volume