The radius of the soap bubble=6.6 mm
The diameter of the soap bubble=13.2 mm
Step-by-step explanation:
The volume of the soap bubble is given in the problem and using this information we have to calculate its radius and diameter.
[tex]volume=1203.6mm^3[/tex]
The soap bubble is in the shape of a sphere and we can use the equation of the volume of the sphere in this problem.
[tex]volume=\frac{4}{3} \pi r^3\\1203.6=\frac{4}{3} \times 3.14\times r^3\\r^3=\frac{1203.6\times 3}{4\times3.14} \\r^3=287.48\\r=6.59 mm[/tex]
The radius of the soap bubble is 6.6 mm.
[tex]diameter=2\times radius\\=2\times 6.6\\13.2 mm[/tex]
The diameter of the soap bubble is 13.2 mm
