Two cylinders made of corundum and pine wood have the same mass. Compare the volumes of these cylinders

Two cylinders made of corundum and pine wood have the same mass. Compare the volumes of these cylinders. The density of corundum is 400 kg (under the bottom M cubic), the density of pine is 0.4 g (under the bottom is cubic cm)

mk = md.

ρк = 400 kg / m3.

ρd = 0.4 g / cm3 = 400 kg / m3.

Vк / Vд -?

The density of a substance ρ is the ratio of its mass m to the volume V that this substance occupies: ρ = m / V.

Density shows how much mass the volume V = 1 m3 has.

Let us express the densities of corundum ρк and wood ρд: ρк = mк / Vк, ρд = mд / Vд.

Vk = mk / ρk.

Vd = md / ρd.

Vк / Vд = mк * ρд / ρк * mд = ρд / ρк.

Let’s translate the density of wood in the units of the international SI system: ρd = 0.4 g / cm3 = 0.0004 kg / 0.000001 m3 = 400 kg / m3.

Vк / Vд = 400 kg / m3 / 400 kg / m3 = 1.

Answer: the volumes of cylinders made of corundum and wood are the same Vк = Vд.