An aluminum cylinder is 5cm long and has a mass of 42g. If aluminum has a density of 2700*9/m 3, how long is the cylinder?

Respuesta :

The radius of the cylinder is the length that measures from the center to the parameter. The length of the cylinder is 1 cm.

What is Density?

The density of the given substance can be used as the measure of the mass and the volume of the substance.

Given,

Length of the aluminum cylinder = 5cm

Mass = 42 g

Density of aluminum = 2700 kg/ m³ = 2.7 gm/cm³

From the density the volume is calculated as:

Density = mass ÷ volume

2.7 = 42 ÷ V

V = 42 ÷ 2.7

= 15.56

The radius of the cylinder is calculated as:

(r) = √(V / π × h)

Here, V =  15.56, π = 3.14, h = 5 cm

Substituting values:

r = √(15.56 ÷ 3.14 × 5)

= √ (15.56 ÷ 15.7)

= 0.99

= 1

Therefore, 1 cm is the length.

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