Center of mass is defined as the point about which the sum of mass moment vectors of all the points of the body is equal to zero.
Center of mass = [(mass of a point object)*(distance of that point from origin)]/(Total mass)
For a rigid body we need to integrate this expression.
Density = Mass/Volume so Volume = Mass/Density. Provided the object is solid.
nM=m moles of solid multiplied by Molar mass (Atomic mass on periodic table) = Mass of solid
The center of mass of a sphere is its geometric center.
The volume of a rectangular solid with those dimensions is 27 cm3.If we also knew its mass, then we could calculate its density.
Calculating mass is near enough impossible: it has to be measured. You can measure its volume and then if you know its density you can work out the mass. However, that requires you to know that the cube is solid and of uniform material. I am not aware of any non-destructive method of doing so.
That all depends on the shape of the object and how its mass is distributed. The center of gravity of a solid sphere is at the center of the solid sphere. The center of gravity of a solid cube is at the center of the solid cube. The Earth's center of gravity is at the center of the Earth, and there's certainly plenty of mass there. But the center of gravity of a ring is at the center of the ring ... an open space where the finger goes.
The center (centre) of mass is, informally, the average position of the points of mass in an extended system. It is a weighted average which takes into account the amount of mass in each point, as well as the position. If you hang a solid object up from the center of mass, it won't have a tendency to rotate. The Wikipedia article on "center of mass" explains how to calculate it.
Grams solid mol/g Hfusion
The heavier mass will be nearest to the center of mass. The concept behind this is related to the one that explains the center of gravity. The center of mass and the center of gravity are the same.
Grams solid × mol/g × Hfusion
Density = Mass/Volume so Volume = Mass/Density. Provided the object is solid.
by alot of troble
Every speck of mass throughout any solid body "has gravity", and attracts every other speck of mass. But when you're outside of the solid body, the gravitational effect of all those specks of mass is exactly as if all of its mass were located at its "center of mass" or "center of gravity". For a homogeneous spherical object, that point is the center of the sphere.
Take an elemental mass on the solid hemisphere. Let the mass be in thin form of discs. The centre of mass lies at the centre of the disc. Integrate the whole function to get the c.o.m.
About 2.151 g/cm3
You can dip the irregular solid in a water or other suitable liquid. This is how, you can measure the volume of the solid. The mass can be measured by weighing scale. Mass/volume = density. It is easy to measure the mass and volume of the liquid. First measure the mass the container. Then add the liquid to it. You will get the mass of the liquid. Then measure the volume of the liquid. Use the above formula to calculate the density of the liquid.
Assuming the mass and density is known, divide the mass by the density.