The volume of a sphere is given byV=(4/3)πr^3, whereris the sphere’s radius. For solid spheres with the same density – made, for example, from the samematerial – mass is proportional to volume. The table below lists measures of deameterand mass for different steel balls. (a) Determine the quantity that, when you plot mass against it, should yield a straightline. (b) Make your plot, establish a best-fit line, and determine its slope (which in thiscase is proportional to the spheres’ density     Diameter (cm) 0.75 1.0 1.56 2.16 2.54 Mass(g) 1.81 3.95 15.8 38.6 68.2

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Center of Gravity of a system

The centre of gravity is a property that is based on the geometry of a rigid body or any particle. It is described as an equilibrium point or a hypothetical location where the total weight of the body is concentrated.