A sphere is a round ball.To calculate the mass of a sphere, you need to know the volume and density of the sphere.Volume can be calculated using the sphere's radius, circumference or diameter.The sphere can be submerged in the water to find its volume.You can find the mass if you know the volume.
Step 1: The formula for a sphere's volume can be recalled.
A sphere has three dimensions.The volume of a sphere is determined by the primary formula.
Step 2: If you know the radius, you can find the volume of a sphere.
From the center of the sphere to the outer edge is the radius.If you are given a problem to calculate volume, you will probably be given the radius.If you can't accurately reach the center of a solid object, the radius can be hard to measure.There is a sphere with a radius of 10 cm.You can find the volume by looking at the display style.
Step 3: If the diameter is given, find the volume.
A situation may give you the diameter of a sphere.The diameter is equal to the radius.The diameter is the distance from one edge of the sphere to the opposite edge.If you want to calculate volume beginning with the diameter, revise the formula as follows.Volume of 43(d2)3displaystyle textVolume.
Step 4: If you know the circumference, you should change the formula.
You can measure the circle of a sphere directly.You can use a tape measure, wrap it around the widest part of the sphere, and take the measurement.You could be given the circumference in a problem.The formula for finding the volume beginning with the circumference should be revised.
Step 5: If you know the circumference, calculate the volume.
You can measure the circumference of a sphere to be 32 cm.You can find its volume by looking at its displaystyle.
Step 6: Measure volume by displacement.
It is possible to submerge the sphere into water.You need a large beaker to hold the sphere.The beaker should be filled with enough water to cover the sphere.Make a note of the measurement.The sphere should be placed into the water.The water level increases.Make a note of the new measurement.Take the first measurement and subtract it from the second.The volume of the sphere is determined by the result.If you submerge the sphere, the water level will rise from 100 to 625 liters.The volume is 525 liters.It's worth noting that 1 cm is 1 liter.
Step 7: Find the density.
You need to know the density of the object to calculate mass from volume.Different materials have different densities.Consider a sphere made of styrofoam, and compare its weight to another sphere of the same size.The density of iron will make it have a greater mass.Density tables can be found online, in textbooks or in other industry catalogs.Here are the densities of aluminum, butter, lead, and pressed wood.
Step 8: As needed, convert the units.
The density measurement requires the volume units to match the density units.You have to convert them if they don't.In the previous section, all of the examples were measured in centimeters.The density table provides densities based on square footage.There are 10 square centimeters in a square meter.To represent the density in units of cm, divide it by 10.The easiest way to do this is by moving the decimal point 6 spaces to the left.The converted densities are as follows for the four sample materials: aluminum, butter, lead and pressed wood.
Step 9: To find mass, divide volume by density.
The formula for density is Density-MassVolume-text-Volume.The equation is Rearranging to find the mass.The mass of a sphere that has a volume of 500 cm can be found using four sample materials.textAluminum:500 text cm3*0.0027frac
Step 10: The problem should be read carefully.
It is important to read the full problem when answering mass calculations problems.It may help to highlight the data as you read.To see what you are being asked to solve, read the whole problem.A large sphere made of solid brass has a diameter of 1.2 m.
Step 11: The data is known and unknown.
To use the adjusted formula, you need to identify that you are given the diameter.You need to look up the density of brass online.The brass density can be found on the website EngineeringToolbox.com.You don't need to convert the density because the sphere's diameter was given in meters.
Step 12: The volume should be calculated.
To calculate the volume, set up the correct formula, fill in the data you know and perform the calculations as follows.
Step 13: The mass can be calculated using the density.
It's important to recall that Mass is a style of text.You can insert the values that you know to find the mass.