Question

Assume you had a silver sphere with a mass of 1.50kg. calculate the diameter of the sphere (in cm). the density of silver is 10.5 g/cm^3. the formula for the volume of a sphere is... v = 4/3 3.14 r^3

Answer 1

First, we calculate the volume of the sphere through the following rule:
density = mass / volume
volume = mass / density = 1.5 / 10500 = 1.43 x 10^-4 m^3

Then, we use the rule of the volume to calculate the radius:
v = 4/3 3.14 r^3
1.43 x 10^-4 = 4/3 3.14 r^3
r^3 = 3.4 x 10^-5
r = 0.0324 m

The last step is to get the diameter as follows:
diameter = 2 x radius = 2 x 0.0324 = 0.0648 m = 6.48 cm