To calculate the average density of a single penny, you need to know the mass and the volume of the penny.

1. First, you need to weigh the penny. The mass of a penny minted after 1982 is approximately 2.5 grams.

2. Next, you need to find the volume of the penny. You can do this by using the formula for the volume of a cylinder, which is V=πr²h, where r is the radius and h is the height (or thickness) of the penny. The radius of a penny is approximately 0.375 inches and the thickness is approximately 0.0598 inches. Convert these measurements to centimeters (1 inch is approximately 2.54 cm). So, the radius in cm is 0.375*2.54 = 0.9525 cm and the thickness in cm is 0.0598*2.54 = 0.151892 cm.

3. Plug these values into the formula to find the volume: V = π*(0.9525 cm)²*(0.151892 cm) = 0.432 cubic cm.

4. Convert the volume from cubic cm to mL (1 cubic cm = 1 mL), so the volume of the penny is approximately 0.432 mL.

5. Finally, calculate the density by dividing the mass by the volume: density = mass/volume = 2.5 g / 0.432 mL = 5.79 g/mL.

So, the average density of a single penny is approximately 5.79 g/mL.

Question

To calculate the average density of a single penny, you need to know the mass and the volume of the penny.

1. First, you need to weigh the penny. The mass of a penny minted after 1982 is approximately 2.5 grams.

2. Next, you need to find the volume of the penny. You can do this by using the formula for the volume of a cylinder, which is V=πr²h, where r is the radius and h is the height (or thickness) of the penny. The radius of a penny is approximately 0.375 inches and the thickness is approximately 0.0598 inches. Convert these measurements to centimeters (1 inch is approximately 2.54 cm). So, the radius in cm is 0.375*2.54 = 0.9525 cm and the thickness in cm is 0.0598*2.54 = 0.151892 cm.

3. Plug these values into the formula to find the volume: V = π*(0.9525 cm)²*(0.151892 cm) = 0.432 cubic cm.

4. Convert the volume from cubic cm to mL (1 cubic cm = 1 mL), so the volume of the penny is approximately 0.432 mL.

5. Finally, calculate the density by dividing the mass by the volume: density = mass/volume = 2.5 g / 0.432 mL = 5.79 g/mL.

So, the average density of a single penny is approximately 5.79 g/mL.

Knowee AI · Accepted Answer

To calculate the average density of a single penny, you need to know the mass and the volume of the penny.

1. First, you need to weigh the penny. The mass of a penny minted after 1982 is approximately 2.5 grams.

2. Next, you need to find the volume of the penny. You can do this by using the formula for the volume of a cylinder, which is V=πr²h, where r is the radius and h is the height (or thickness) of the penny. The radius of a penny is approximately 0.375 inches and the thickness is approximately 0.0598 inches. Convert these measurements to centimeters (1 inch is approximately 2.54 cm). So, the radius in cm is 0.375*2.54 = 0.9525 cm and the thickness in cm is 0.0598*2.54 = 0.151892 cm.

3. Plug these values into the formula to find the volume: V = π*(0.9525 cm)²*(0.151892 cm) = 0.432 cubic cm.

4. Convert the volume from cubic cm to mL (1 cubic cm = 1 mL), so the volume of the penny is approximately 0.432 mL.

5. Finally, calculate the density by dividing the mass by the volume: density = mass/volume = 2.5 g / 0.432 mL = 5.79 g/mL.

So, the average density of a single penny is approximately 5.79 g/mL.

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