Question

A metal cylinder has a length of 3.15 in, a radius of 0.42 in, and a mass of 52 g. What is the density of the metal in g/cm?? Volume of cylinder=z r'n 1 in = 2.54 cm

Answer 1

The length of the cylinder (Height ), h= 3.15 in= 3.15 x 2.54 cm=8 cm

The radius of the cylinder = 0.42 in = 0.42 x 2.54 =1.06 cm

Mass of metal cylinder= 52 g

$Volume =\pi r^2 h = 3.14 \times (1.06cm )^2 \times 8 cm=28.2 \ cm^3$

Density of a metal is defined as the ratio of mass of the metal to the volume occupied by that metal.

Mass Density = Volume 52 g 28.2 cm3 = 1.84 g/cm3