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 base
h is the height of the cylinder
In this problem
[tex] h=3+4r [/tex]
For [tex] r=2\ in[/tex]
Find the value of h
[tex] h=3+4*2 [/tex]
[tex] h=11\ in [/tex]
Find the volume of the cylinder
[tex] V=\pi*2^{2}*11[/tex]
[tex] V=44*\pi\ in^{3}= 138.2\ in^{3} [/tex]
therefore
the answer is
The volume of a cylinder is equal to [tex] 138.2\ in^{3} [/tex]
