QQuestionMathematics
QuestionMathematics
A Pringles can has a diameter of 3 inches and a height of 8.5 inches. About how much area does the label cover? Round the answer to the nearest hundredth of a square inch.
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Answer
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Step 1:I'll solve this step by step, carefully following the LaTeX formatting guidelines:
Step 2:: Identify the Surface Area of the Label
The label on a Pringles can will cover the lateral surface area, which is essentially the curved surface of a cylinder. This can be calculated by multiplying the circumference by the height.
Step 3:: Calculate the Circumference
C = \pi \times 3 = 9.42 \text{ inches}
The circumference is calculated using the diameter:
Step 4:: Calculate the Label Area
A = 9.42 \times 8.5 = 80.07 \text{ square inches}
The label area is the circumference multiplied by the height:
Step 5:: Round the Answer
A \approx 80.07 \text{ square inches}
Rounding to the nearest hundredth:
Final Answer
The Pringles can label covers approximately 80.07 square inches.
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