Question

a soup can is 4 inches tall and has a radius of 1.3 inches. the can has a label wrapped around its entire lateral surface. how much paper was used to make the label? use 3.14 for π and round your answer to the nearest tenth. in.²

Explanation:

Step1: Recall the formula for lateral surface area of a cylinder

The formula for the lateral surface area of a cylinder is \(A = 2\pi rh\), where \(r\) is the radius and \(h\) is the height.

Step2: Substitute the given values into the formula

Given \(r = 1.3\) inches, \(h=4\) inches, and \(\pi = 3.14\).

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Step3: Round the result to the nearest tenth

Rounding \(32.656\) to the nearest tenth. The digit in the hundredth place is \(5\), so we round up the digit in the tenth place. \(32.656\approx32.7\)

Answer:

\(32.7\)