Question

A piece of magnesium is in the shape of a cylinder with a height of 6.62 cm and a diameter of 2.34 cm. If the magnesium sample has a mass of 17.1 g, what is the density of the sample? (formula for volume of a cylinder: volume = r2h)

Answer 1

0.600 g/cm³

Step-by-step explanation:

Step 1: Given data

• Height of the cylinder (h): 6.62 cm

• Diameter of the cylinder (d): 2.34 cm

• Mass of the cylinder (m): 17.1 g

Step 2: Calculate the volume of the cylinder

First, we have to determine the radius, which is half of the diameter.

r = d/2 = 2.34 cm/2 = 1.17 cm

Then, we use the formula for the volume of the cylinder.

V= π × r² × h

V= π × (1.17 cm)² × 6.62 cm

V = 28.5 cm³

Step 3: Calculate the density (ρ) of the sample

The density is equal to the mass divided by the volume.

ρ = m/V

ρ = 17.1 g/28.5 cm³

ρ = 0.600 g/cm³