HELP PLZ WILL MARK U AS BRAINLIEST

Mathematics

1 answer:

Alla [95]3 years ago

3 0

Answer:

Difference in volume between the two vinyl records = 3.872 in³

Step-by-step explanation:

Complete Question

2 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.

Each of the vinyl records will be modeled 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.

Therefore, the difference in volume between the two vinyl records = 3.872 in³.

Have a nice day!

You might be interested in

Casey has a loan for $400 at a rate of 13% annually. If the interest is not compounded, how much interest will he pay in 3 years

Drupady [299]

$400 * 0.13 * 3 = $156

answer is C) $156.00

4 0

3 years ago

Read 2 more answers

Here is a triangular pyramid and its net.

bazaltina [42]

Answer:

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. $\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\$