The spherical ball for the machine with a radius of 2 centimeters, has a mass of 278.1 grams and will have a density of 8.29 grams per cm³, which is identical to the density of Terbium's 8.23 grams per cm³.
Thus, we can say that Terbium is the material used to make the spherical ball.
The density of an object is given as the ratio of its mass and its volume.
Density = Mass/Volume.
In the question, we are informed that a spherical ball for a machine was made with a radius of 2 centimeters.
Thus, the volume of the spherical ball, using the formula for the volume of a sphere, V = (4/3)πr³, where r is its radius, can be calculated as:
V = (4/3)π(2)³ cm³ = 32π/3 cm³ = 33.51032 cm³.
The mass of the ball is given to be 278.1 grams.
Thus, its density = 278.1/33.51032 grams per cm³ = 8.2989355 grams per cm³.
We know that the density of Terbium is 8.23 grams per cm³.
Thus, the spherical ball for the machine with a radius of 2 centimeters, has a mass of 278.1 grams, will have a density of 8.29 grams per cm³, which is identical to the density of Terbium's 8.23 grams per cm³.
Thus, we can say that Terbium is the material used to make the spherical ball.
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