Thank you for visiting Select the correct answer from each drop down menu A company sells cocoa powder in a cylindrical container that is 5 inches long with a. 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 :
Let's solve this step-by-step.
1. Understand the dimensions of the original container:
- The original container has a diameter of 4 inches.
2. Calculate the circumference of the original container:
- The formula to calculate the circumference of a circle is [tex]\( \text{Circumference} = \pi \times \text{Diameter} \)[/tex].
- For the original container, the diameter is 4 inches, so the circumference is approximately [tex]\( 12.57 \)[/tex] inches.
3. Determine the scaling factor:
- The new container will be scaled by a factor of 2. This means each linear dimension, including the diameter, will be doubled.
4. Calculate the new diameter:
- New diameter = original diameter [tex]\(\times 2 = 4 \text{ inches} \times 2 = 8 \text{ inches}\)[/tex].
5. Calculate the circumference of the new container:
- Use the circumference formula again: [tex]\( \text{Circumference} = \pi \times \text{Diameter} \)[/tex].
- For the new container, the diameter is 8 inches, so the circumference is approximately [tex]\( 25.13 \)[/tex] inches.
6. Calculate the difference in circumferences:
- The difference = [tex]\( 25.13 \text{ inches} - 12.57 \text{ inches} = 12.57 \text{ inches}\)[/tex].
In summary:
- The circumference of the original container is approximately 12.57 inches.
- The difference in circumference between the new and original containers is approximately 12.57 inches.
The correct answer selections are:
- The circumference of the original container is 12.57 inches.
- This is 12.57 inches less than the circumference of the new container.
1. Understand the dimensions of the original container:
- The original container has a diameter of 4 inches.
2. Calculate the circumference of the original container:
- The formula to calculate the circumference of a circle is [tex]\( \text{Circumference} = \pi \times \text{Diameter} \)[/tex].
- For the original container, the diameter is 4 inches, so the circumference is approximately [tex]\( 12.57 \)[/tex] inches.
3. Determine the scaling factor:
- The new container will be scaled by a factor of 2. This means each linear dimension, including the diameter, will be doubled.
4. Calculate the new diameter:
- New diameter = original diameter [tex]\(\times 2 = 4 \text{ inches} \times 2 = 8 \text{ inches}\)[/tex].
5. Calculate the circumference of the new container:
- Use the circumference formula again: [tex]\( \text{Circumference} = \pi \times \text{Diameter} \)[/tex].
- For the new container, the diameter is 8 inches, so the circumference is approximately [tex]\( 25.13 \)[/tex] inches.
6. Calculate the difference in circumferences:
- The difference = [tex]\( 25.13 \text{ inches} - 12.57 \text{ inches} = 12.57 \text{ inches}\)[/tex].
In summary:
- The circumference of the original container is approximately 12.57 inches.
- The difference in circumference between the new and original containers is approximately 12.57 inches.
The correct answer selections are:
- The circumference of the original container is 12.57 inches.
- This is 12.57 inches less than the circumference of the new container.
Thank you for reading the article Select the correct answer from each drop down menu A company sells cocoa powder in a cylindrical container that is 5 inches long with a. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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Rewritten by : Jeany
