Calculate the mass of each of the following: (a) a sphere of gold with a radius of 10.0 cm [the volume of a sphere with a radius r is \(V=(4 / 3) \pi r^{3}\); the density of gold = \(19.3\mathrm{\ g}/\mathrm{cm}^3\)], (b) a cube of platinum of edge length 0.040 mm (the density of platinum = \(21.4\mathrm{\ g}/\mathrm{cm}^3\)), (c) 50.0 mL of ethanol (the density of ethanol = 0.798 g/mL).

Step 1 of 3

Here we have to calculate the mass.

It is known that mass = density volume

(a) a sphere of gold with a radius of 10.0 cm

In this question it has been given that,

where r is the radius = 10.0 cm

Mass = density volume

Thus the mass of the gold sphere is found to be