a cylinder has a density of 3.75g/cm3. if it has a mass of 12.1 g and a diameter of 8.22 cm, what is its height?

Given that

Cylinder density = 3.75 g / cm^3

Mass of cylinder = 12.1 g

Diameter = 8.22 cm

Radius, r = diameter / 2 = 8.22 / 2 cm = 4.11 cm

Now calculate the volume as follows:

Volume = mass / density

= 12.1 g / 3.75 g / cm^3

= 3.23 cm^3

Now with the use of volume of cylinder calculate the height as follows:

Volume of cylinder = πr^2h

3.23 cm^3 = 3.14 * (4.11 cm) ^2 * h

h = 3.23 cm^3 / 3.14 * (4.11 cm) ^2

=0.061 cm