A 25.0-cm long cylindrical glass tube, sealed at one end, is filled with ethanol. The mass of ethanol needed to fill the tube is found to be 45.23 g. The density of ethanol is 0.789 g/mL. Calculate the inner diameter of the tube in centimeters.

Therefore, internal diameter of the glass tube = 1.708 cm

Explanation:

Volume of ethanol = volume of glass tube

volume of ethanol = mass of ethanol/ density of ethanol

volume of ethanol = 45.23 g/ 0.789g/ml

volume of ethanol = 57.326 ml

Therefore volume of glass tube = 57.326 ml

1 ml = 1 cm³

Volume of glass tube in cm³ = 57.326 cm³

Volume of a cylinder = πd²h/4

where h = height of cylinder; d = internal diameter of cylinder

d = √(volume * 4/πh)

d = √(4 * 57.326 cm³ / 3.142 * 25)

d = 1.708 cm

Therefore, internal diameter of the glass tube = 1.708 cm

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explanation: