Question

A student recorded the mass of a glass bead to be 0.7691g. If glass has a denisty of 0.85g/mL, what would the diameter, in mm, of the glass bead be?

Answer 1

Answer – Given, mass of glass bead = 0.7691 g , density = 0.85 g/mL

We know,

Density = mass/ volume

So, volume = mass / density

                  = 0.7691 g / 0.85 g.ml^-1

                   = 0.905 mL

We know the glass bead is spherical and the volume of the sphere

Volume of a sphere = 4/3 π *r³

  0.905 mL = 4/3*3.14*r³

So, r³ = 0.905 mL /4.19

          = 0.216 mL

Now taking cube root from both side

r= 0.600 cm

we know the , 1 cm = 10 mm

so, 0.600 cm = ?

= 6.0 mm

We know

Diameter = 2*r

                = 2*6.0 mm

                = 12.0 mm

So, the diameter of the glass bead be 12.0 mm