Question

A size 5 soccer ball has a diameter of about 8.5 inches . To the nearest cubic inch , what is the volume of a size 5 soccer ball​

Answer 1

`321\ in^(3)`

Explanation:

we know that

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

`V=(4)/(3)\pi r^(3)`

In this problem we have

`r=8.5/2=4.25\ in` ---> the radius is half the diameter

assume

`\pi=3.14`

substitute the values

`V=(4)/(3)(3.14)(4.25)^(3)=321\ in^(3)`

Answer 2

322 cubic inches

Explanation:

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

A sphere has a volume formula of
`(4)/(3)\pi r^3`

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:

`(4)/(3)\pi r^3\\=(4)/(3)\pi (4.25)^3\\=321.56`

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