You measure the masses and volumes of two cylinders. The mass of cylinder 1 is 1.35 times the mass of cylinder 2. The volume of cylinder 1 is 0.792 times the volume of cylinder 2. If the density of cylinder 1 is 3.85 g/cm3, what is the density of cylinder 2?

Solution 119P

Step 1:

Density of any substance may be defined as mass per unit volume. If ‘d’ be the density, ‘m’ be the mass and ‘v’ be the volume of any substance, then, numerically,

d = -------(1)

Step 2:

Given, mass of cylinder 1 = 1.35 x mass of cylinder 2

Volume of cylinder 1 = 0.792 x volume of cylinder 2

Density of cylinder 1 = 3.85 g/cm3