You are creating winter decorations to hang in your windows. You want to fill each glass ball with decorative snow and mini trees. The diameter of each ball is 4 in. About how much space do you have available to fill in each ball?Use 3.14 for pi

You are creating winter decorations to hang in your windows You want to fill each glass ball with decorative snow and mini trees The diameter of each ball is 4 class=
You are creating winter decorations to hang in your windows You want to fill each glass ball with decorative snow and mini trees The diameter of each ball is 4 class=

Respuesta :

To answer this question we will use the following formula to compute the volume of a sphere:

[tex]Volume=\frac{\pi\times diameter^3}{6}.[/tex]

Substituting diameter=4in in the above formula we get:

[tex]Volume=\frac{\pi\times(4in)^3}{6}.[/tex]

Simplifying the above result we get:

[tex]Volume=\frac{\pi\times64in^3}{6}=\frac{32\pi}{3}in^3.[/tex]

Using 3.14 for pi we get:

[tex]Volume\approx33.49in^3.[/tex]

Answer: Option C.