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the object in question 1 has a mass of 21.535g. what metal is the cylinder most likely made of? why? pls help asap!!

the object in question 1 has a mass of 21.535g. what metal is the cylinder most likely-example-1
User Rodrigocfd
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1 Answer

5 votes

Answer:

Aluminium

Step-by-step explanation:

From the question given above, the following data were obtained:

Diameter (d) = 1.25 cm

Height (h) = 6.48 cm

Volume (V) of cylindrical=.?

Mass (m) of cylindrical object = 21.535 g

Density of the cylindrical object =..?

Next, we shall determine the radius of the cylindrical object. This is illustrated below:

Diameter (d) = 1.25 cm

Radius (r) =?

r = d/2

r = 1.25/2

Radius (r) = 0.625 cm

Next, we shall determine the volume of the cylindrical object. This can be obtained as follow:

Height (h) = 6.48 cm

Radius (r) = 0.625 cm

Pi (π) = 3.14

Volume (V) of cylindrical=.?

V = πr²h

V = 3.14 × 0.625² × 6.48

V = 7.948 cm³

Recall:

1 cm³ = 1 mL

Therefore

7.948 cm³ = 7.948 mL

Thus, the volume of the cylindrical object is 7.948 mL

Finally, we shall determine the metal in which the cylindrical object is made up of by calculating the density of the cylindrical object. This can be obtained as follow:

Mass (m) of cylindrical object = 21.535 g

Volume of the cylindrical object = 7.948 mL

Density of cylindrical object =?

Density = mass /volume

Density = 21.535 / 7.948

Density of cylindrical object = 2.7 g/mL

Comparing the density of the cylindrical object (i.e 2.7 g/mL) with those given in the table in the question, the cylindrical object is made of aluminium since they have the same density.

User TheKingPinMirza
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