Respuesta :

Given:

The diameter of the sphere is 9 inches.

[tex]\text{Radius}=\frac{diameter}{2}=\frac{9}{2}\text{inches}[/tex]

The volume of the sphere is

[tex]V=\frac{4}{3}\pi r^3[/tex]

Substitute r =9/2 in the formula, we get

[tex]V=\frac{4}{3}\times3.14\times(\frac{9}{2})^3[/tex]

[tex]V=\frac{4}{3}\times3.14\times\frac{9\times9\times9}{2\times2\times2}[/tex]

[tex]V=3.14\times\frac{3\times9\times9}{2}[/tex]

[tex]V=381.5[/tex]

[tex]V=382in^3[/tex]

Hence the volume of the ballon is 382 cubic inches.

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