Question

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

Explanation:

Step1: Calculate the volume of the spherical ball

The volume formula for a sphere is \(V = \frac{4}{3}\pi r^{3}\). Given \(r = 2\space cm\), then \(V=\frac{4}{3}\pi(2)^{3}=\frac{32\pi}{3}\space cm^{3}\approx\frac{32\times3.14}{3}\approx33.49\space cm^{3}\)

Step2: Calculate the density of the ball

Density formula is \(
ho=\frac{m}{V}\). Given \(m = 278.1\space g\) and \(V\approx33.49\space cm^{3}\), then \(
ho=\frac{278.1}{33.49}\approx8.3\space g/cm^{3}\)

Answer:

Copper