Question

You have a copper cylinder at room temperature (20ºC). You find that the diameter of the copper cylinder is 3.52 cm and the mass of the cylinder is 94.6754 g. What is the length (h) of the copper cylinder in mm? The density of copper is 8.96 g/cm3. (2 points) 4. You

Answer 1

Answer:

10.8 mm

Explanation:

Step 1: Calculate the volume (V) of the copper cylinder

The cylinder has a mass of 94.6754 g and a density of 8.96 g/cm³. The volume of the cylinder is:

$94.6754 g \times \frac{1cm^{3} }{8.96g} = 10.6 cm^{3}$

Step 2: Calculate the length (h) of the copper cylinder

The diameter (d) of the copper cylinder is 3.52 cm. We can calculate the length using the following expression.

$V = \pi \times (\frac{d}{2})^{2} \times h\\h = \frac{4V}{\pi \times d^{2} } = \frac{4(10.6cm^{3} )}{\pi \times (3.52cm)^{2} } = 1.08 cm$

Step 3: Convert the length to millimeters

We will use the relationship 1 cm = 10 mm.

$1.08cm \times \frac{10mm}{1cm} = 10.8 mm$