Steps figuring out this answer

Question

A solid cylinder has a mass of 0.5 kg and is 10 cm tall with a radius of 3 cm. If the volume of a cylinder can be found from the formula 𝑉 = 𝜋𝑟 2ℎ, find the density of the solid.

Answer 1

To get density, divide the mass by the volume.

V = πr²h

You have r and h in cm, which you can convert to meters. Then plug them into the formula and get V in m³. You have the mass m in kg. The density is

ρ = m/V = m / (πr²h)

If you convert r and h to meters and keep the mass in kg, you will get the density in kg/m³.