Answer:
The diameter of the balloon is [tex]7\ in[/tex]
Step-by-step explanation:
we know that
The volume of a sphere (balloon) is equal to
[tex]V=\frac{4}{3}\pi r^{3}[/tex]
we have
[tex]V=179.5\ in^{3}[/tex]
[tex]\pi =3.14[/tex]
substitute and solve for r
[tex]179.5=\frac{4}{3}(3.14)r^{3}[/tex]
[tex]r^{3}=179.5*3/[(4)*(3.14)][/tex]
[tex]r=3.5\ in[/tex]
Find the diameter
The diameter is two times the radius
[tex]D=2(3.5)=7\ in[/tex]
