Answered by AI, Verified by Human Experts

b) 1.28 g/cm³

c) 0.64 g/cm³

d) 0.32 g/cm³

Final answer:To find the density of the steel, calculate the radius from the given circumference, compute the volume using the radius, and apply the density formula using the given mass.Explanation:The question is asking to calculate the density of the steel ball-bearing using its given circumference and weight.First, we need to find the radius of the ball-bearing from its circumference. The formula for the circumference (C) of a circle is C = 2πr, where r is the radius. We rearrange the formula to solve for r: r = C / (2π). Substituting the given circumference of 32.5 mm, we obtain the radius in millimeters. We then convert the radius to centimeters to be consistent with the volume formula V = (4/3)πr^3, which is in cubic centimeters (cm³).After calculating the volume, we use the formula for density (ρ) which is ρ = mass/volume. The mass of the ball-bearing is given as 4.20 g. We calculate the density with the mass in grams and the volume in cubic centimeters to get the result in the desired unit of g/cm³....

Unlock full access for 72 hours, watch your grades skyrocket.

For just $0.99 cents, get access to the powerful quizwhiz chrome extension that automatically solves your homework using AI. Subscription renews at $5.99/week.