Respuesta :

The volume of a cylinder is represented by: [tex] \pi r^{2}h [/tex]

We know that r is equal to [tex] \frac{1}{2}d [/tex], and d in this case is 9 in. Therefore, r = 4.5 in.

Then, using 3.14 for [tex] \pi [/tex], and 15 in. for height, we can solve for the volume of the cylinder:

[tex]V=3.14 (4.5)^{2} (15)[/tex]

[tex]V=3.14*20.25*15[/tex]

[tex]V=953.775 in^{3}[/tex]

By using this equation, we were able to determine that the volume of this cylinder is [tex]953.775 in^{3}[/tex].