How to solve the this chemistry question

Question

You have a copper cylinder at room temperature (30ºC). You find that the diameter of the copper cylinder is 4.52 cm and the mass of the cylinder is 95.6754 g. What is the length (h) of the copper cylinder in mm? The density of copper is 9.86 g/cm3

Answer 1

Density is defined as mass per unit volume or mass/volume

We know the mass and we know the density, so we can solve for the volume.

Density = mass/volume

volume = mass/density = 95.6754 g/9.86 g/cm3 = 9.70 cm³

The volume of a cylinder is given by V = π r² h

π = pi = 3.14

r = radius = 1/2 diameter = 1/24.52 cm = 2.26 cm

h = ?

9.70 cm3 = (3.14)(2.26)2 (h)

h = 0.605 cm