Answer:
A 9.00 in
Step-by-step explanation:
The balloon is in the shape of a sphere.
The volume of a sphere, in terms of diameter, is given as:
[tex]V = \frac{1}{6} \pi d^3[/tex]
Therefore:
[tex]381.7 = \frac{1}{6} \pi d^3\\\\=> d^3 = \frac{6 * 381.7}{\pi} \\\\d^3 = 728.993\\\\d = \sqrt[3]{728.993} \\\\d = 9.00 in[/tex]
The diameter of the balloon is 9.00 inches
