What is the mass of a cylinder of silicon (in units of grams) that is 4.00 cm in diameter and 10.55 cm long?

309.02g

Explanation:

According to the information given in this question, the cylinder has the following:

Mass = ?

Length/height = 10.55cm

Diameter = 4.00cm

Volume of a cylinder = πr²h

Where; π = pie (3.142 or 22/7)

r = radius (cm)

h = height

Note that, radius = diameter/2

Hence, radius (r) = 4.00/2

r = 2.00cm.

V = πr²h

V = 22/7 × 2² × 10.55

V = 22/7 × 42.2

V = 928.4/7

V = 132.628cm³

Density = mass/volume

Hence, mass = density × volume

Where density of silicon is 2.33g/cm³

Mass = 2.33g/cm³ × 132.628cm³

Mass = 309.02g

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