Answer:
Difference in volume between the 10 inch diameter and the 12 inch diameter vinyl records = 3.872 in³
Step-by-step explanation:
Both of the vinyl records will each be modelled as a cylinder
Volume of a cylinder = πr²h
For the 12 inches diameter records.
r = (12/2) = 6 inches
h = thickness = 0.112 inches
Volume = π × (6²) × 0.112 = 12.672 in³
For the 10 inches diameter records
r = (10/2) = 5 inches
h = thickness = 0.112 inches
Volume = π × (5²) × 0.112 = 8.8 in³
Difference in volume between the two vinyl records = 12.672 - 8.8 = 3.872 in³
Hope this Helps!!!