A cylinder of lead has a mass of 14 kg. If the cylinder is 3 cm in diameter, calculate its height.

Question

Can you please help me?

Answer 1

Gregory,

            The volume of a cylinder is V=pi*d² *H/4 where d= diameter (3 cm) and H= height (what we want to find. 

The mass M = ρ*V where ρ is the density of lead in kg/cm³ . Solving for H gives H=4*V/(pi*d² ) and V=M/ρ

So H=4*M/(ρ*pi*d²) in order to get a numerical value for H you must be given the density of lead ρ. Once you have that you can calculate the height. 

Lead is about 11.34 g/cm³ 

 

Jim