Consider a 114 ft long, 4 in. type M copper tubing. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in V What is the outside diameter in inches? (Round your answer to at least three decimal places.) 3.625 x Your response differs from the correct answer by more than 10%. Double check your calculations. in. What is the inside diameter in inches? (Round your answer to at least three decimal places.) 3.459 x Your response differs from the correct answer by more than 10%. Double check your calculations. in. What is the length in inches? 1368 in. What is the formula for the volume of a cylinder? (Use the following as necessary: h for the height and R for the radius. Do not substitute numerical values; use variables only.) V = лR²h What is the volume of the outer cylindrical shape in in.³? 14111.454 Your response differs from the correct answer by more than 10%. Double check your calculations. in.³ What is the volume of the inner cavity (in in.³)? 51394.527 X Your response differs from the correct answer by more than 100%. in.³ What is the volume of the tubing? (Use the following as necessary: Vouter and Vinner. Do not substitute numerical values; use variables only.) V= V outer - V. inner What is the volume of the tubing in in.³? 14060.060 X Your response differs from the correct answer by more than 100%. in.³ What is the volume of tubing in ft³? 8.136 Your response differs from the correct answer by more than 100%. ft³

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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*Any help with this problem would be appreciated, thanks*

(I just need help finding answers to red marked areas)

 

Consider a 114 ft long, 4 in. type M copper tubing. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.)
What is the outside diameter in inches? (Round your answer to at least three decimal places.)
3.625
X
Your response differs from the correct answer by more than 10%. Double check your calculations. in.
What is the inside diameter in inches? (Round your answer to at least three decimal places.)
3.459
x
Your response differs from the correct answer by more than 10%. Double check your calculations. in.
What is the length in inches?
1368
in.
What is the formula for the volume of a cylinder? (Use the following as necessary: h for the height and R for the radius. Do not substitute numerical values; use variables only.)
V = πR²h
What is the volume of the outer cylindrical shape in in.³?
14111.454
X
3
Your response differs from the correct answer by more than 10%. Double check your calculations. in.
What is the volume of the inner cavity (in in.³)?
51394.527
X
Your response differs from the correct answer by more than 100%. in.³
What is the volume of the tubing? (Use the following as necessary: V
outer
and Vinner. Do not substitute numerical values; use variables only.)
V = Vouter - V.
inner
What is the volume of the tubing in in.³?
14060.060
x
Your response differs from the correct answer by more than 100%. in.³
What is the volume of tubing in ft³?
8.136
Your response differs from the correct answer by more than 100%. ft³
Transcribed Image Text:Consider a 114 ft long, 4 in. type M copper tubing. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) What is the outside diameter in inches? (Round your answer to at least three decimal places.) 3.625 X Your response differs from the correct answer by more than 10%. Double check your calculations. in. What is the inside diameter in inches? (Round your answer to at least three decimal places.) 3.459 x Your response differs from the correct answer by more than 10%. Double check your calculations. in. What is the length in inches? 1368 in. What is the formula for the volume of a cylinder? (Use the following as necessary: h for the height and R for the radius. Do not substitute numerical values; use variables only.) V = πR²h What is the volume of the outer cylindrical shape in in.³? 14111.454 X 3 Your response differs from the correct answer by more than 10%. Double check your calculations. in. What is the volume of the inner cavity (in in.³)? 51394.527 X Your response differs from the correct answer by more than 100%. in.³ What is the volume of the tubing? (Use the following as necessary: V outer and Vinner. Do not substitute numerical values; use variables only.) V = Vouter - V. inner What is the volume of the tubing in in.³? 14060.060 x Your response differs from the correct answer by more than 100%. in.³ What is the volume of tubing in ft³? 8.136 Your response differs from the correct answer by more than 100%. ft³
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### Problem Statement

Consider a 114 ft long, 4 in. type M copper tubing. (Note: Do not use rounded intermediate values in your calculations.)

### Questions and Solutions

1. **What is the outside diameter in inches?**  
   Answer: 4.125 in. ✓

2. **What is the inside diameter in inches?**  
   Answer: 3.935 in. ✓

3. **What is the length in inches?**  
   Answer: 1368 in. ✓

4. **What is the formula for the volume of a cylinder?**  
   Use: \( V = \pi R^2 h \)  
   This formula uses \( h \) for the height and \( R \) for the radius. ✓

5. **What is the volume of the outer cylindrical shape in cubic inches?**  
   Incorrect Answer: 73128.030 in.³ ✘  
   Note: The response differs from the correct answer by more than 100%.

6. **What is the volume of the inner cavity in cubic inches?**  
   Incorrect Answer: 66546.534 in.³ ✘  
   Note: The response differs from the correct answer by more than 100%.

7. **What is the volume of the tubing using the formula \( V = V_{\text{outer}} - V_{\text{inner}} \)?**  
   Correct formula usage ✓

8. **What is the volume of the tubing in cubic inches?**  
   Incorrect Answer: 6581.496 in.³ ✘  
   Note: The response differs from the correct answer by more than 100%.

9. **What is the volume of the tubing in cubic feet?**  
   Incorrect Answer: 3.809 ft³ ✘  
   Note: The response differs from the correct answer by more than 100%.

### Study Guidance

When solving problems involving the volume of a cylinder or tubing, ensure you follow these steps:

- Use precise values for diameter and length to calculate the radius and height.
- Apply the formula for the volume of a cylinder correctly, keeping in mind to use consistent units.
- Verify calculations by checking if values align with expected physical dimensions.
- Pay attention to unit conversions (e.g., inches to feet) where necessary.
Transcribed Image Text:### Problem Statement Consider a 114 ft long, 4 in. type M copper tubing. (Note: Do not use rounded intermediate values in your calculations.) ### Questions and Solutions 1. **What is the outside diameter in inches?** Answer: 4.125 in. ✓ 2. **What is the inside diameter in inches?** Answer: 3.935 in. ✓ 3. **What is the length in inches?** Answer: 1368 in. ✓ 4. **What is the formula for the volume of a cylinder?** Use: \( V = \pi R^2 h \) This formula uses \( h \) for the height and \( R \) for the radius. ✓ 5. **What is the volume of the outer cylindrical shape in cubic inches?** Incorrect Answer: 73128.030 in.³ ✘ Note: The response differs from the correct answer by more than 100%. 6. **What is the volume of the inner cavity in cubic inches?** Incorrect Answer: 66546.534 in.³ ✘ Note: The response differs from the correct answer by more than 100%. 7. **What is the volume of the tubing using the formula \( V = V_{\text{outer}} - V_{\text{inner}} \)?** Correct formula usage ✓ 8. **What is the volume of the tubing in cubic inches?** Incorrect Answer: 6581.496 in.³ ✘ Note: The response differs from the correct answer by more than 100%. 9. **What is the volume of the tubing in cubic feet?** Incorrect Answer: 3.809 ft³ ✘ Note: The response differs from the correct answer by more than 100%. ### Study Guidance When solving problems involving the volume of a cylinder or tubing, ensure you follow these steps: - Use precise values for diameter and length to calculate the radius and height. - Apply the formula for the volume of a cylinder correctly, keeping in mind to use consistent units. - Verify calculations by checking if values align with expected physical dimensions. - Pay attention to unit conversions (e.g., inches to feet) where necessary.
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