A cylindrical glass tube 10.3 cm in length is filled with mercury (density = 13.6 g/mL). (The volume of a

cylinder of radius r and length his V = arh.) The mass of mercury needed to fill the tube is 106.3 g.

Calculate the inner diameter of the tube.

cm

0.982 cm

Explanation:

Given dа ta:

Density = 13.6 g/mL

mass = 106.3 g

volume = ?

Formula:

d=m/v

v = m/d

v = 106.3 g / 13.6 g/mL

v = 7.816 mL

Now we have to find the radius of tube:

Formula:

V = πr²h

v = 7.816 ml

π = 22/7 = 3.14

h = 10.3 cm

now we will put the values in formula:

V = πr²h

7.816 mL = 3.14 * r² * 10.3 cm

7.816 / 32.342 = r²

r² = 0.242 mL/cm

r = 0.491 cm

Formula for diameter is given below:

diameter = 2 * radius

diameter = 2 * 0.491 cm

diameter = 0.982 cm