Solve the Problem Where $h$ Is the Length of the Cylinder And

Multiple Choice

Solve the problem.
-The surface area of a hollow cylinder (tube) is given by $\mathrm { S } = 2 \pi \left( \mathrm { R } _ { 1 } + \mathrm { R } _ { 2 } \right) \left( \mathrm { h } + \mathrm { R } _ { 1 } - \mathrm { R } _ { 2 } \right) ,$ where $h$ is the length of the cylinder and $R _ { 1 }$ and $R _ { 2 }$ are the outer and inner radii. If $h _ { \text {, } } R _ { 1 }$ , and $R _ { 2 }$ are measured to be 6 inches, 7 inches, and 9 inches respectively, and if these measurements are accurate to within $0.1$ inches, estimate the maximum percentage error in computing $\mathrm { S }$ .

A) 0.045%
B) 0.056%
C) 0.067%
D) 0.089%