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6. A 20-ft-by-30-ft swimming pool is filled with water. The depth is measured at 5-ft intervals, starting at one corner of the pool, and the values are recorded in the table. Estimate the volume of water in the pool.

6. A 20-ft-by-30-ft swimming pool is filled with water. The depth is measured at 5-ft intervals, starting at one corner of the pool, and the values are recorded in the table. Estimate the volume of water in the pool.

Advanced Engineering Mathematics
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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**Problem 6: Estimating the Volume of a Swimming Pool** A swimming pool with dimensions 20 ft by 30 ft is filled with water. The depth is measured at 5-ft intervals, starting from one corner of the pool. The table below records the depth values. | | 0 | 5 | 10 | 15 | 20 | 25 | 30 | |-------|---|---|----|----|----|----|----| | **0** | 2 | 3 | 4 | 6 | 7 | 8 | 8 | | **5** | 2 | 3 | 4 | 7 | 8 | 10 | 8 | | **10** | 2 | 4 | 6 | 8 | 10 | 12 | 10 | | **15** | 2 | 3 | 4 | 5 | 6 | 8 | 7 | | **20** | 2 | 2 | 2 | 2 | 2 | 3 | 4 | **Instructions for Estimation:** 1. Use the depth values given in the table, which are measured in feet. 2. Apply numerical integration or other appropriate mathematical techniques to estimate the total volume of water in the pool based on the provided depth measurements. This problem aims to develop skills in numerical estimation and understanding measurements in a practical context, such as calculating volumes based on varying depths in a swimming pool setting.
Transcribed Image Text:**Problem 6: Estimating the Volume of a Swimming Pool** A swimming pool with dimensions 20 ft by 30 ft is filled with water. The depth is measured at 5-ft intervals, starting from one corner of the pool. The table below records the depth values. | | 0 | 5 | 10 | 15 | 20 | 25 | 30 | |-------|---|---|----|----|----|----|----| | **0** | 2 | 3 | 4 | 6 | 7 | 8 | 8 | | **5** | 2 | 3 | 4 | 7 | 8 | 10 | 8 | | **10** | 2 | 4 | 6 | 8 | 10 | 12 | 10 | | **15** | 2 | 3 | 4 | 5 | 6 | 8 | 7 | | **20** | 2 | 2 | 2 | 2 | 2 | 3 | 4 | **Instructions for Estimation:** 1. Use the depth values given in the table, which are measured in feet. 2. Apply numerical integration or other appropriate mathematical techniques to estimate the total volume of water in the pool based on the provided depth measurements. This problem aims to develop skills in numerical estimation and understanding measurements in a practical context, such as calculating volumes based on varying depths in a swimming pool setting.
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