Question

Columbia Records unveiled the LP (a vinyl record) in the Waldorf Astoria on June 18, 1948,

in two formats: 10 inches in diameter, matching that of 78 rpm singles, and 12 inches in
diameter. If the thickness of one vinyl record is 0.112 in, then determine the difference in
volumes between the 10 inch and 12 inch records.
15 records

Answer 1

Difference in volume between the 10 inch diameter and the 12 inch diameter vinyl records = 3.872 in³

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!!!