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Festive Christmas Tree Volume Calculation and Fun Facts

Explore data points of 17 tree sections with volume calculations using Disk and Washer methods. Did you know Latvia hosted the first decorated Christmas tree in 1510 and more interesting facts?

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Festive Christmas Tree Volume Calculation and Fun Facts

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  1. Christmas Tree Volume

  2. 17 Sections • 181 Data Points • Disk and Washer Method used to find volume

  3. Section 1 – Method: Washer Integral: p[3.80.35 (.235x3 – 2.74x2 + 9.626x + 7.488)2 – (.1716x4 – 1.6199x3 + 5.5448x2 – 10.4472x + 13.2523)2dx Volume: 17101.80 mm3

  4. Section 2 – Method: Disk Integral: p[53.8 (-1.53x3 + 20.95x2 – 96.567x + 164.82)2dx Volume: 5724.36 mm3

  5. Section 3 – Method: Disk Integral: p[7.65 (.4143x3 – 8.7318x2 + 60.4227x – 122.5632)2dx Volume: 11362.96 mm3

  6. Section 4 – Method: Disk Integral: p[11.97.6 (-.06458x4 + 2.6434x3 – 40.465x2 + 273.5502x – 672.386)2dx Volume: 17885.15 mm3

  7. Section 5 – Method: Washer Integral: p[12.211.9 (-2.5x2 + 59.25x – 338.95)2 – (x – 11.5)2dx Volume: 879.7652 mm3

  8. Section 6 – Method: Washer Integral: p[12.712.2 (-1.4896x2 + 39.0832x – 243.2927)2 – (x – 11.5)2dx Volume: 1560.28 mm3

  9. Section 7 – Method: Washer Integral: p[14.812.7 (.5384x3 – 22.4604x2 + 310.8937x – 1415.9257)2 – (1)2dx Volume: 6159.14 mm3

  10. Section 8 – Method: Washer Integral: p[19.514.8 (.04731x4 – 3.09185x3 + 74.948x2 -798.3365x +3163.4085)2 – (1)2dx Volume: 12184.44 mm3

  11. Section 9 – Method: Washer Integral: p[21.819.5 (1.1474x3 – 72.0222x2 + 1504.7228x – 10454.412)2 – (1)2dx Volume: 4230.77 mm3

  12. Section 10 – Method: Washer Integral: p[25.721.8 (.3329x3 – 24.2315x2 + 586.1303x – 4703.2505)2 – (1)2dx Volume: 5303.72 mm3

  13. Section 11 – Method: Washer Integral: p[26.525.7 (4.1667x3 – 326.9643x2 + 8553.4048x – 74588.1)2 – (1)2dx Volume: 699.00 mm3

  14. Section 12 – Method: Washer Integral: p[27.4526.5 (.5469x3 – 45.1543x2 + 1241.2663x – 11354.36)2 – (27.5 – x)2dx Volume: 932.03 mm3

  15. Section 13 – Method: Disk Integral: p[28.2527.45 (2.22x3 – 18.50975x2 + 5143.0062x – 47615.3198)2dx Volume: 598.94 mm3

  16. Section 14 – Method: Disk Integral: p[31.6528.25 (.2156x3 – 19.8274x2 + 606.7192x – 6171.9353)2dx Volume: 2342.68 mm3

  17. Section 15 – Method: Disk Integral: p[34.331.65 (.4887x3 – 49.2722x2 + 1654.781x – 18507.6127)2dx Volume: 1174.96 mm3

  18. Section 16 – Method: Disk Integral: p[37.234.3 (.3307x3 – 36.1048x2 + 1312.715x – 15890.971)2dx Volume: 908.16 mm3

  19. Section 17 – Method: Disk Integral: p[40.137.2 (.3903x3 – 45.9024x2 + 1798.2987x – 23464.8916)2dx Volume: 667.86 mm3

  20. Total Volume: 89715.01 mm3

  21. What Could Be More Fun Than Facts? • In 1510 the first known decorated Christmas tree appeared in Riga, Latvia • One acre of Christmas trees produces the daily oxygen requirement for 18 people. • Approximately 30 million real Christmas trees are sold in North America every year, totally over $1.2 billion in sales.  About 78% of these are pre-cut trees and 22% cut-your-own. • Only seven months, four days, 15 hours, and 23 minutes (at the beginning of this period) until CHRISTMAS

  22. Don’t be naughty…

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