Ho can I calculate the volume of a CD that is 0.75 mm thick has outer diameter of 128 mm and inner diameter of 15 mm.
subtract the area of the hole from that of the disc rim; then multiply by the thickness:
π(128^2 - 15^2)(0.75) mm^3
To calculate the volume of a CD, you need to determine its shape and use the appropriate formula. In this case, a CD can be considered as a cylindrical shape with a hole in the center.
To calculate the volume, you can use the formula for the volume of a cylinder with a hollow section:
V = πh(R^2 - r^2)
Where:
V is the volume
π is a constant and approximately equal to 3.14159
h is the height or thickness of the CD
R is the radius of the outer diameter
r is the radius of the inner diameter
Given:
h = 0.75 mm
Outer diameter = 128 mm, so the radius, R = Outer diameter / 2 = 128 / 2 = 64 mm
Inner diameter = 15 mm, so the radius, r = Inner diameter / 2 = 15 / 2 = 7.5 mm
Now we can substitute the values into the formula to calculate the volume:
V = 3.14159 * 0.75 * ((64^2) - (7.5^2))
V ≈ 3.14159 * 0.75 * (4096 - 56.25)
V ≈ 3.14159 * 0.75 * 4039.75
V ≈ 9548.6135654 mm^3
Therefore, the volume of the CD is approximately 9548.61 mm^3.