## Algebra 1: Common Core (15th Edition)

V= 138.16 $in^3$
$V= πr^2 (4r+3)$ 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 $in^3$