To find the height of a cylindrical iron object given its mass, density, and radius, you can use the formula for the volume of a cylinder:
Volume = π * r² * h
Where:

• Volume is the total volume of the cylinder.
• π (pi) is approximately 3.14159.
• r is the radius of the cylinder.
• h is the height of the cylinder.

You already have the mass (M) of the object and its density (ρ). The formula to calculate volume from mass and density is:
Volume = Mass / Density
Now, plug in the values you have:
Volume = 700 kg / 7900 kg/m³
Volume = 0.0886 m³
Now, we can set this equal to the formula for the volume of a cylinder and solve for the height (h):
0.0886 m³ = π * (0.1 m)² * h
Now, solve for h:
h = 0.0886 m³ / (π * (0.1 m)²) h ≈ 28.31 meters
So, the height of the cylindrical iron object is approximately 28.31 meters.