Mass Cylinder 5B3384

1. **State the problem:** We need to calculate the mass of a cylinder made of gold given the density of gold is $19.3\ \text{g/cm}^3$.\n\n2. **Formula used:** The mass $m$ of an object can be calculated using the formula:\n$$m = \text{density} \times \text{volume}$$\nwhere density is given and volume depends on the cylinder's dimensions.\n\n3. **Important rule:** To find the mass, we must know the volume of the cylinder. The volume $V$ of a cylinder is given by:\n$$V = \pi r^2 h$$\nwhere $r$ is the radius and $h$ is the height of the cylinder.\n\n4. **Intermediate work:** Since the problem does not provide the radius or height, we cannot calculate the exact mass without these values.\n\n5. **Explanation:** To find the mass, first calculate the volume of the cylinder using its radius and height, then multiply by the density $19.3\ \text{g/cm}^3$.\n\n**Final formula for mass:**\n$$m = 19.3 \times \pi r^2 h$$\n\nWithout the dimensions $r$ and $h$, the mass cannot be numerically determined.