A Wooden Cylinder Has A Density Of 4 Kg/m3 And A Mass Of 48 Kg. What Is The Volume Of The Wooden Cylinder?

**A wooden cylinder has a density of 4 kg/m3 and a mass of 48 kg. What is the volume of the wooden cylinder?**

Understanding the Problem

To find the volume of the wooden cylinder, we need to use the formula for density, which is:

Density (ρ) = Mass (m) / Volume (V)

We are given the density of the wooden cylinder as 4 kg/m3 and its mass as 48 kg. We can use this information to find the volume of the cylinder.

Step 1: Rearrange the Formula

To find the volume, we need to rearrange the formula to isolate the volume (V). We can do this by multiplying both sides of the equation by the volume (V), which gives us:

m = ρV

Step 2: Plug in the Values

Now that we have the rearranged formula, we can plug in the values we are given. The mass (m) is 48 kg and the density (ρ) is 4 kg/m3. Plugging these values into the formula gives us:

48 kg = 4 kg/m3 * V

Step 3: Solve for V

To solve for the volume (V), we can divide both sides of the equation by the density (ρ), which gives us:

V = 48 kg / 4 kg/m3

V = 12 m3

Therefore, the volume of the wooden cylinder is 12 cubic meters.

Q&A

Q: What is the formula for density? A: The formula for density is ρ = m / V, where ρ is the density, m is the mass, and V is the volume.

Q: How do I find the volume of an object if I know its mass and density? A: To find the volume of an object, you can use the formula V = m / ρ, where V is the volume, m is the mass, and ρ is the density.

Q: What is the unit of density? A: The unit of density is typically kg/m3, which is kilograms per cubic meter.

Q: Can I use the formula for density to find the mass of an object if I know its volume and density? A: Yes, you can use the formula ρ = m / V to find the mass of an object if you know its volume and density. Simply rearrange the formula to isolate the mass (m) and plug in the values you know.

Q: What is the difference between density and mass? A: Density is the mass of an object per unit volume, while mass is the total amount of matter in an object. For example, a rock with a high density may have the same mass as a rock with a low density if they have the same volume.

Q: Can I use the formula for density to find the volume of an object if I know its mass and density? A: Yes, you can use the formula V = m / ρ to find the volume of an object if you know its mass and density. Simply plug in the values you know and solve for the volume (V).