Respuesta :

Answer:

The volume of the cylinder is equal to

[tex]V=635.85\ units^{3}[/tex]  or  [tex]V=202.50\pi \ units^{3}[/tex]

Step-by-step explanation:

we know that

The volume of the cylinder is equal to

[tex]V=\pi r^{2} h[/tex]

we have

[tex]r=9/2=4.5\ units[/tex] -----> the radius is half the diameter

[tex]h=10\ units[/tex]

substitute

[tex]V=\pi (4.5)^{2}(10)=202.50\pi \ units^{3}[/tex] -----> exact value

assume

[tex]\pi =3.14[/tex]

[tex]V=202.50(3.14)=635.85\ units^{3}[/tex] -----> approximate value