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3. A hydrologist needs to estimate the volume of the water in the approximately circular well as illustrated in Figure 2. The diameters of the well were measured every 5 meter as listed in Table 1. Use the Simpson's Rule to estimate the volume of the water in the well. Table 1 Depth (m) Diameter (cm) 126.6 125.0 1243 10 15 20 25 30 35 40 45 50 55 107.1 929 71.4 64.3 67.9 67.1 57.1 35.725.0 5m 10 m 15 m 20 m 25 m 30 m 35 m 40 m 45 m 50 m -55 m +++

3. A hydrologist needs to estimate the volume of the water in the approximately circular well as illustrated in Figure 2. The diameters of the well were measured every 5 meter as listed in Table 1. Use the Simpson's Rule to estimate the volume of the water in the well. Table 1 Depth (m) Diameter (cm) 126.6 125.0 1243 10 15 20 25 30 35 40 45 50 55 107.1 929 71.4 64.3 67.9 67.1 57.1 35.725.0 5m 10 m 15 m 20 m 25 m 30 m 35 m 40 m 45 m 50 m -55 m +++

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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Chapter : Numerical integration (Simpson's Rule)

A hydrologist needs to estimate the volume of the water in the approximately circular well as illustrated in Figure 2. The diameters of the well were measured every 5 meter as listed in Table 1. Use the Simpson's Rule to estimate the volume of the water in the well. 3. Table 1 30 35 50 55 40 45 5 10 15 20 25 Depth (m) Diameter (cm) 126.6 125.0 124.3 107.1 929 71.4 64.3 67.9 67.1 57.1 35.7 25.0 5m 10 m 15 m 20 m 25 m 30 m 35 m 40 m 45 m S0 m -55 m Figure 2
Transcribed Image Text:A hydrologist needs to estimate the volume of the water in the approximately circular well as illustrated in Figure 2. The diameters of the well were measured every 5 meter as listed in Table 1. Use the Simpson's Rule to estimate the volume of the water in the well. 3. Table 1 30 35 50 55 40 45 5 10 15 20 25 Depth (m) Diameter (cm) 126.6 125.0 124.3 107.1 929 71.4 64.3 67.9 67.1 57.1 35.7 25.0 5m 10 m 15 m 20 m 25 m 30 m 35 m 40 m 45 m S0 m -55 m Figure 2
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