The standard kilogram is a platinum – iridium cylinder39.0 mm in height and 39.0 mm in diameter. What isthe density of the material?

To find the density of the material, we need to know the mass and the volume of the cylinder. The mass is given as 1 kilogram.

The volume of a cylinder is calculated using the formula V = πr²h, where r is the radius and h is the height.

1. First, we need to convert the diameter to radius. The radius is half of the diameter, so r = 39.0 mm / 2 = 19.5 mm.

2. Next, we need to convert the radius and height from millimeters to meters because the standard unit of volume in the International System of Units (SI) is cubic meters (m³). So, r = 19.5 mm = 0.0195 m and h = 39.0 mm = 0.039 m.

3. Now we can calculate the volume: V = π(0.0195 m)²(0.039 m) = 0.0000118 m³.

4. Finally, we can find the density using the formula ρ = m/V, where m is the mass and V is the volume. So, ρ = 1 kg / 0.0000118 m³ = 84745.76 kg/m³.

So, the density of the material is approximately 84745.76 kg/m³.