Answer:
[tex]h=15.73\ in[/tex]
Step-by-step explanation:
we know that
The volume of a cylinder is equal to
[tex]V=\pi r^{2} h[/tex]
we have
[tex]V=1,000\ in^{3}[/tex]
[tex]r=9/2=4.5\ in[/tex] ----> the radius is half the diameter
substitute and solve for h
[tex]1,000=(3.14)(4.5)^{2} h[/tex]
[tex]h=1,000/[(3.14)(4.5)^{2}][/tex]
[tex]h=15.73\ in[/tex]
