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