Respuesta :

TaeKwonDoIsDead

Answer:

322 cubic inches

Step-by-step explanation:

A soccer ball is in the shape of a "sphere".

A sphere has a volume formula of  [tex]\frac{4}{3}\pi r^3[/tex]

Since diameter is given, we need to figure out the radius (which is HALF of the diameter)

hence, radius = half of 8.5 = 4.25 inches

We simply plug in 4.25 into r of the formula and figure out the volume:

[tex]\frac{4}{3}\pi r^3\\=\frac{4}{3}\pi (4.25)^3\\=321.56[/tex]

to nearest cubic inch, the volume is 322 cubic inches.

calculista

Answer:

[tex]321\ in^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the sphere (soccer ball) is equal to

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

In this problem we have

[tex]r=8.5/2=4.25\ in[/tex] ---> the radius is half the diameter

assume

[tex]\pi=3.14[/tex]

substitute the values

[tex]V=\frac{4}{3}(3.14)(4.25)^{3}=321\ in^{3}[/tex]

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