please help I am stuck

Question

Assume an asteroid is in the shape of a sphere and has a mass of 900 kilograms. Determine the density (in g/cm^3) of this asteroid if its diameter is known to be 0.9 meters.

Answer 1

Density is mass/volume. You want the density in gm /cm³.

One way to do this is to change the dimensions to cm by multiplying kg by 1000 and change meters to cm by multiplying by 100.

The formula for the volume of a sphere is 4/3 x pi x r³ = 4/3 x 3.14 x 90³ = 3.05 x 10⁶ cm³

Density = 900kg x 1000 g/kg / 3.05 x 10⁶ cm³ = 0.3 g/cm³