Final answer:
To calculate the volume of the black marble, use the formula V = (4/3)πr³, where r is the radius of the sphere. Substituting the given diameter, the approximate volume comes out to be 14.14 cm³.
Step-by-step explanation:
To calculate the volume of a sphere, we use the formula V = (4/3)πr³, where r is the radius of the sphere.
Since the diameter of the black marble is given as 3.0 cm, we can find the radius by dividing the diameter by 2: r = 3.0 cm / 2 = 1.5 cm.
Substituting the value of the radius into the formula, we can approximate the volume of the black marble as:
V ≈ (4/3)π(1.5 cm)³ = (4/3)π(3.375 cm³) ≈ 14.14 cm³
Learn more about Calculating the volume of a sphere