Question

a cylinder rod formed from silicon is 46.0cm long and has a mass of 3.10kg. The density of silicon is 2.33g/cm3. what is the diameter of the cylinder?

Answer 1

Density is a physical property which describes the mass of a substance per unit of volume of the substance. It is expressed as Density = m / V and it has units like g/cm^3. To determine the diameter of the cylinder, we use the definition of density. We first calculate the volume from density as follows:

Density = mass / volume
Volume = mass / density
Volume = 310 g / 2.33 g/cm^3
Volume = 133.15 cm^3

Volume of a cylinder is equal to the product of pi, square of the radius of the base and the height. It is expressed as follows:

Volume = πr^2h

We calculate for the radius, r, which is equal to one half the diameter.

r = √(Volume / πh)
r = √133.15 / π(46)
r = 0.9595 cm
Diameter = 2r = 2 (0.9595) = 1.92 cm