**Text Transcription for Educational Website:** 11. A diagram of a paper tube is shown below. Find the volume of paper making up the tube. **Diagram Description:** The diagram illustrates a cylindrical paper tube. The tube is depicted with the following measurements: - The length of the tube is 20.0 ft. - The outer diameter of the tube is 3.70 inches. - The inner diameter of the tube is 3.30 inches. To calculate the volume of paper making up the tube, consider the volume of the outer cylinder and subtract the volume of the inner cylinder. Use the formula for the volume of a cylinder, \( V = \pi h (r_{\text{outer}}^2 - r_{\text{inner}}^2) \), where \( h \) is the height (length) of the tube, and \( r_{\text{outer}} \) and \( r_{\text{inner}} \) are the outer and inner radii, respectively.

Text Transcription for Educational Website: 11. A diagram of a paper tube is shown below. Find the volume of paper making up the tube. Diagram Description: The diagram illustrates a cylindrical paper tube. The tube is depicted with the following measurements: - The length of the tube is 20.0 ft. - The outer diameter of the tube is 3.70 inches. - The inner diameter of the tube is 3.30 inches. To calculate the volume of paper making up the tube, consider the volume of the outer cylinder and subtract the volume of the inner cylinder. Use the formula for the volume of a cylinder, \( V = \pi h (r_{\text{outer}}^2 - r_{\text{inner}}^2) \), where \( h \) is the height (length) of the tube, and \( r_{\text{outer}} \) and \( r_{\text{inner}} \) are the outer and inner radii, respectively.

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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