+206 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?
+1223 surface area of cylinder = \(2 \pi rh + 2\pi r^2 = 2\pi r(2.5r) + 2\pi r^2\)
\(2\pi r (2.5r) + 2\pi r^2 = 112\pi\)
\(2r(2.5r) + 2r^2 = 112\)
\(7r^2 = 112\)
\(r = \sqrt{\frac{112}{7}} = 4 \quad \rightarrow \quad \boxed{h = 10}\)
