Answer
V= 138.16 $in^3$
Work Step by Step
$V= πr^2 (4r+3)$
The volume of the cylinder when it has a radius of 2 in. is 138.16 in3
Work Step by Step
The formula for the volume of a cylinder is
$V= πr^2 h$
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
$V= πr^2$ (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
$V= πr^2$ (4r+3)
$V= (3.14) (2)^2$ (4(2)+3)
V= 138.16 $in^3$
