What is the mass (in grams) of a cylinderical wire made of iron metal that has a diameter of 0.19mm and a length of 14.59cm?

Question

Iron has a density of 7.87 g/mL and the volume of the cylinger is given by V=(pie)r^2(h)

Answer 1

mass = density x volume

We know the density is 7.87 g / ml, so we need to find the volume of the cylinder in mls.

Volume = π r² h

π = 3.1416

r (in cm) = 0.19 mm / 2 = 0.095 mm x 1 cm / 10 mm = 0.0095 cm

h (in cm) = 14.59 cm

Volume = (3.1416)(0.0095 cm)²(14.59 cm)

Volume = 4.137x10^-3 cm³

Now we can solve for mass:

mass = density x volume

mass = 7.87 g / ml x 4.137x10^-3 ml

mass = 0.033 g