Weight of the balloon = 2.0 g
Six weights each of mass 30.0 g is added to the balloon.
Total mass of the balloon = 2.0 g + 6*30.0 g = 182 g
Density of salt water = 1.02 g/mL
Calculating the volume from mass and density:
[tex]182g*\frac{mL}{1.02g} =178mL[/tex]
Converting the volume from mL to cubic cm:
[tex]178 mL * \frac{1cm^{3} }{1mL} =178cm^{3}[/tex]
Assuming the balloon to be a sphere,
Volume of the sphere = [tex]\frac{4}{3}[/tex]π[tex]r^{3}[/tex]
[tex]178 cm^{3} = \frac{4}{3}(\frac{22}{7})r^{3}[/tex]
r = 3.49 cm
Radius of the balloon = 3.49 cm
Diameter of the balloon = 2 r = 2*3.49 cm = 6.98cm
