The height of a right cylinder is 2.5 times its radius. If the surface area of the cylinder is $112\pi\text{ cm}^2$, what is the radius of the cylinder in centimeters?
SUrface are of a cylinder ( not counting the ends) pi * d * h and h = 2.5 r
area = 112 pi cm^2
112 pi = pi d 2.5 r remember d = 2r
112 pi = pi 2 r 2.5 r divide both sides by pi
112 = 4.5 r now solve for 'r'