we know that
the volume of a cylinder is equal to
[tex] V=\pi r^{2} h [/tex]
where
r is the radius of the cylinder
h is the height of the cylinder
in this problem
[tex] Diameter=6in\\ r=Diameter/2\\r=6/2\\r=3in\\ h=3r \\ h=3*3\\ h=9in [/tex]
Substitute the values in the formula above
[tex] V=3.14* 3^{2}*9 [/tex]
[tex] V=254.34 in^{3} [/tex]
therefore
the answer is
[tex] V=254.34 in^{3} [/tex]
