Question

a soup can in the shape of a cylinder is 6 inches tall and has a label wrapped around it. the label does not cover the top and bottom of the can. if the radius of the can is 1.5 inches, how much paper was needed to make the label? use 3.14 for π and round the answer to the nearest tenth. recall the formula ( la = 2pi rh ). 37.7 square inches 28.3 square inches 70.7 square inches 56.5 square inches

Explanation:

Step1: Substitute the values into the formula

Given \(r = 1.5\) inches and \(h=6\) inches, and using the formula \(LA = 2\pi rh\). Substitute \(\pi = 3.14\), \(r = 1.5\), and \(h = 6\) into the formula: \(LA=2\times3.14\times1.5\times6\).

Step2: Calculate the result

First, calculate \(2\times3.14 = 6.28\). Then \(6.28\times1.5=9.42\). Finally, \(9.42\times6 = 56.52\). Rounding \(56.52\) to the nearest tenth gives \(56.5\).

Answer:

\(56.5\) square inches