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silver has a density of 10.5 g/cm. if you have s silver cylinder with a mass of 145g and radius of 0.5cm, what is the height of the cylinder

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Answer: The height of the silver cylinder is approximately 17.56 cm.

Step-by-step explanation:

To find the height of the silver cylinder, you can use the formula for the volume of a cylinder:

Volume = π * r² * h

Where:

π (pi) is approximately 3.14159.

r is the radius of the cylinder.

h is the height of the cylinder.

You have the mass of the silver cylinder (145g) and its density (10.5 g/cm³). To calculate the volume, you can use the formula for density:

Density = Mass / Volume

Rearrange this formula to solve for volume:

Volume = Mass / Density

Now, plug in the values:

Volume = 145g / 10.5 g/cm³ = 13.81 cm³

Now, you know the volume of the cylinder is 13.81 cm³. You also have the radius, which is 0.5 cm. Plug these values into the formula for the volume of a cylinder:

13.81 cm³ = π * (0.5 cm)² * h

Now, solve for h (the height):

h = 13.81 cm³ / (π * (0.5 cm)²)

h = 13.81 cm³ / (π * 0.25 cm²)

h = 13.81 cm³ / (0.7854 cm²)

h ≈ 17.56 cm

So, the height of the silver cylinder is approximately 17.56 cm.

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