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A sphere made of iron has a diameter of 4.99 cm. What is the mass of the sphere?

User Jan Zyka
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1 Answer

1 vote

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.

User Seize
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