Question

A standard 1 kilogram weight is a cylinder 55.0 mm in height and 46.0 mm in diameter. What is the density of the material?

Answer 1

10945.9 kg/m^3

Step-by-step explanation:

mass of cylinder, m = 1 kg

Height of cylinder, h = 55 mm = 0.055 m

Diameter of cylinder = 46 mm

Radius of cylinder, r = 23 mm = 0.023 m

The formula of the volume of the cylinder is given by

`V = \pi r^(2)h`

V = 3.14 x 0.023 x 0.023 x 0.055

V = 9.136 x 10^-5 m^3

Density is defined as mass per unit volume .

`Density = (1)/(9.136 * 10^(-5))`

Density = 10945.9 kg/m^3