Calculate the density of a penny using a thickness of 1.52 mm, a diameter of 19.05 mm, the mass of a penny, and Equations 2.7 and 2.11.
Equations 2.7: volume= πr^2h
Equations 2.11: density= mass/volume
Solution:
The volume of a penny having thichness 1.52 mm is calculated by equation,
V = πr^2h
Given,
h = 1.52 mm
radius(r) = diameter/2 = 19.05/2 = 9.525 mm
Thus,
V = 22/7 x (9.525 mm)^2 x 1.52 mm = 433.409 mm^3
V = 433.409 x 0.001 = 0.4334 cm^3
The mass of a penny = 2.50 g
Hence,
Density = mass./ volume
= 2.50 g / 0.4334 cm^3 = 5.77 g/cm^3
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