Thank you for visiting A soup can has a height of 4 inches and a radius of 2 5 inches What is the area of paper needed to cover. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
To find the area of paper needed to cover the lateral face of a soup can, we use the formula for the lateral surface area of a cylinder. The formula is:
[tex]\[ \text{Lateral area} = 2 \times \pi \times \text{radius} \times \text{height} \][/tex]
Here are the steps:
1. Identify the dimensions of the can:
- The height of the can is 4 inches.
- The radius of the can is 2.5 inches.
2. Substitute the values into the formula:
[tex]\[ \text{Lateral area} = 2 \times \pi \times 2.5 \times 4 \][/tex]
3. Calculate the product:
[tex]\[ \text{Lateral area} = 2 \times \pi \times 2.5 \times 4 = 62.8 \, \text{in}^2 \][/tex]
Based on these calculations, the area of paper needed to cover the lateral face of the soup can is approximately [tex]\(62.8 \, \text{in}^2\)[/tex].
Therefore, the correct answer is C) [tex]$62.8 \, \text{in}^2$[/tex].
[tex]\[ \text{Lateral area} = 2 \times \pi \times \text{radius} \times \text{height} \][/tex]
Here are the steps:
1. Identify the dimensions of the can:
- The height of the can is 4 inches.
- The radius of the can is 2.5 inches.
2. Substitute the values into the formula:
[tex]\[ \text{Lateral area} = 2 \times \pi \times 2.5 \times 4 \][/tex]
3. Calculate the product:
[tex]\[ \text{Lateral area} = 2 \times \pi \times 2.5 \times 4 = 62.8 \, \text{in}^2 \][/tex]
Based on these calculations, the area of paper needed to cover the lateral face of the soup can is approximately [tex]\(62.8 \, \text{in}^2\)[/tex].
Therefore, the correct answer is C) [tex]$62.8 \, \text{in}^2$[/tex].
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Rewritten by : Jeany
