A 30.0-cm-long cylindrical plastic tube, sealed at one end, is filled with acetic acid. The mass of acetic acid needed to fill the tube is found to be 89.24 g. The density of acetic acid is 1.05 g/mL. Calculate the inner diameter of the tube in centimeters.

Verified step by step guidance

1. Calculate the volume of acetic acid using its mass and density. Use the formula: \( \text{Volume} = \frac{\text{Mass}}{\text{Density}} \).
2. Convert the volume from milliliters to cubic centimeters, knowing that 1 mL = 1 cm³.
3. Recognize that the volume of a cylinder is given by the formula: \( V = \pi r^2 h \), where \( r \) is the radius and \( h \) is the height of the cylinder.
4. Rearrange the formula to solve for the radius: \( r = \sqrt{\frac{V}{\pi h}} \).
5. Double the radius to find the diameter of the tube, since \( \text{Diameter} = 2r \).