Final answer:
To find the density of the cylinder, calculate its volume using the formula V = πr²h, and then divide the mass by this volume. The density is approximately 0.343 g/cm³.
Step-by-step explanation:
The question asks for the density of a cylinder with a given radius, height, and mass. To calculate the density, we must first find the volume of the cylinder using the formula V = πr²h, where r is the radius and h is the height. Once the volume is determined, we calculate density by dividing the mass by the volume, using the formula ρ = m/V.
First, find the volume of the cylinder:
V = π × (5.5 cm)² × 13.9 cm
V = π × 30.25 cm² × 13.9 cm
V = π × 420.475 cm³
V ≈ 1319.47 cm³
Next, calculate the density:
ρ = 453 g / 1319.47 cm³
ρ ≈ 0.343 g/cm³
Hence, the density of the cylinder is approximately 0.343 g/cm³.