#### Answer

V= $\pi r^{2}$ (4r+3)
The volume of the cylinder when it has a radius of 2 in. is 138.16 $in^{3}$

#### Work Step by Step

The formula for the volume of a cylinder is
V= $\pi r^{2}$ h
and in this scenario, the height is 3 plus 4 times the radius this h= 4r+3,
therefore substituting 4r+3 for h we get
V= $\pi r^{2}$ (4r+3)
For the question, What is the volume of the cylinder when it has a radius of 2 in.? We substitute 2 for r.
r=2
V= $\pi r^{2}$ (4r+3)
V= (3.14) $(2)^{2}$ (4(2)+3)
V= 138.16 $in^{3}$