Answer:
514.51 grams approx
Explanation:
To find the mass of the iron sphere, you need to know its density. The density of iron is typically around 7.87 grams per cubic centimeter (g/cm³).
First, you should calculate the volume of the sphere using its diameter:
Calculate the radius (r) of the sphere, which is half of the diameter:
r = 4.99 cm / 2 = 2.495 cm
Calculate the volume (V) of the sphere using the formula for the volume of a sphere:
V = (4/3) * π * r³
V = (4/3) * π * (2.495 cm)³
Calculate the mass (M) of the sphere using the density of iron:
M = Density * Volume
M = 7.87 g/cm³ * [(4/3) * π * (2.495 cm)³]
Now, let's calculate it:
M = 7.87 g/cm³ * [(4/3) * π * (15.61 cm³)]
M = 7.87 g/cm³ * (65.45 cm³)
M ≈ 514.51 grams
So, the mass of the iron sphere is approximately 514.51 grams.