A steel cylinder has 25 mm in diameter and 1 m height. What is its mass?

A steel cylinder has 25 mm in diameter and 1 m height. What is its mass?

We know

ρ = 7800 kg / m³ (steel density)

d = 25 mm

h = 1 m

m =?



Solution


V cylinder = πR²h

ρ = 7800 kg / m³ = 7.8 g / cm³

ρ = m / V

m = ρ x V


m = 7800 kg / m³ x x (d / 2)² x h

m = 7800 kg / m³ x 3.14 x (25 mm / 2)² x 1 m

m = 7800 kg / m³ x 3.14 x 156.25 mm x 100 cm

m = 7.8 g / cm³ x 3.14 x 15.625 cm² x 100 cm

m = 7.8 g / cm³ x 3.14 x 1562.5 cm³

m = 7.8 g x 3.14 x 1562.5

m = 0.0078 mg x 3.14 x 1562.5

m = 38.27 mg


Legend
m = mass
ρ = density
V = volume
h = height
d = diameter

Mechanics

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