select the correct text.\na spherical ball for a machine was made with a radius of 2 centimeters.\nif the…

select the correct text.\na spherical ball for a machine was made with a radius of 2 centimeters.\nif the ball has a mass of 278.1 grams, which material was used to make the ball?\ncopper - 8.3 g/cm³ brass - 8.6 g/cm³ iron - 7.8 g/cm³

select the correct text.\na spherical ball for a machine was made with a radius of 2 centimeters.\nif the ball has a mass of 278.1 grams, which material was used to make the ball?\ncopper - 8.3 g/cm³ brass - 8.6 g/cm³ iron - 7.8 g/cm³

Answer

Answer:

Brass

Explanation:

Step1: Calculate volume of sphere

$V = \frac{4}{3}\pi r^{3}$, where $r = 2$ cm. So $V=\frac{4}{3}\pi(2)^{3}=\frac{32\pi}{3}\text{ cm}^3\approx33.51\text{ cm}^3$.

Step2: Calculate density of ball

$\text{Density}=\frac{\text{Mass}}{\text{Volume}}$. Given mass = 278.1 g and volume $\approx33.51\text{ cm}^3$. So $\text{Density}=\frac{278.1}{33.51}\approx8.3\text{ g/cm}^3$.

Step3: Compare with given densities

The calculated density is closest to the density of brass ($8.6\text{ g/cm}^3$) among the options.