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

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  $\frac{4}{3}\pi r^3$

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:

$\frac{4}{3}\pi r^3\\=\frac{4}{3}\pi (4.25)^3\\=321.56$

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

Answer 2

Answer:

$321\ in^{3}$

Step-by-step explanation:

we know that

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

$V=\frac{4}{3}\pi r^{3}$

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

$V=\frac{4}{3}(3.14)(4.25)^{3}=321\ in^{3}$