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Solve the Problem Where hh Is the Length of the Cylinder And

question 187

Multiple Choice

Solve the problem.
-The surface area of a hollow cylinder (tube) is given by S=2π(R1+R2) (h+R1R2) ,\mathrm { S } = 2 \pi \left( \mathrm { R } _ { 1 } + \mathrm { R } _ { 2 } \right) \left( \mathrm { h } + \mathrm { R } _ { 1 } - \mathrm { R } _ { 2 } \right) , where hh is the length of the cylinder and R1R _ { 1 } and R2R _ { 2 } are the outer and inner radii. If hR1h _ { \text {, } } R _ { 1 } , and R2R _ { 2 } are measured to be 6 inches, 7 inches, and 9 inches respectively, and if these measurements are accurate to within 0.10.1 inches, estimate the maximum percentage error in computing S\mathrm { S } .


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