1. Christmas Tree Volume

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

3. Section 1 – Method: Washer Integral:  [ 3.8 0.35 (.235x 3 – 2.74x 2 + 9.626x + 7.488) 2 – (.1716x 4 – 1.6199x 3 + 5.5448x 2 – 10.4472x + 13.2523) 2 dx Volume: 17101.80 mm 3

4. Section 2 – Method: Disk Integral:  [ 5 3.8 (-1.53x 3 + 20.95x 2 – 96.567x + 164.82) 2 dx Volume: 5724.36 mm 3

5. Section 3 – Method: Disk Integral:  [ 7.6 5 (.4143x 3 – 8.7318x 2 + 60.4227x – 122.5632) 2 dx Volume: 11362.96 mm 3

6. Section 4 – Method: Disk Integral:  [ 11.9 7.6 (-.06458x 4 + 2.6434x 3 – 40.465x 2 + 273.5502x – 672.386) 2 dx Volume: 17885.15 mm 3

7. Section 5 – Method: Washer Integral:  [ 12.2 11.9 (-2.5x 2 + 59.25x – 338.95) 2 – (x – 11.5) 2 dx Volume: 879.7652 mm 3

8. Section 6 – Method: Washer Integral:  [ 12.7 12.2 (-1.4896x 2 + 39.0832x – 243.2927) 2 – (x – 11.5) 2 dx Volume: 1560.28 mm 3

9. Section 7 – Method: Washer Integral:  [ 14.8 12.7 (.5384x 3 – 22.4604x 2 + 310.8937x – 1415.9257) 2 – (1) 2 dx Volume: 6159.14 mm 3

10. Section 8 – Method: Washer Integral:  [ 19.5 14.8 (.04731x 4 – 3.09185x 3 + 74.948x 2 -798.3365x +3163.4085) 2 – (1) 2 dx Volume: 12184.44 mm 3

11. Section 9 – Method: Washer Integral:  [ 21.8 19.5 (1.1474x 3 – 72.0222x 2 + 1504.7228x – 10454.412) 2 – (1) 2 dx Volume: 4230.77 mm 3

12. Section 10 – Method: Washer Integral:  [ 25.7 21.8 (.3329x 3 – 24.2315x 2 + 586.1303x – 4703.2505) 2 – (1) 2 dx Volume: 5303.72 mm 3

13. Section 11 – Method: Washer Integral:  [ 26.5 25.7 (4.1667x 3 – 326.9643x 2 + 8553.4048x – 74588.1) 2 – (1) 2 dx Volume: 699.00 mm 3

14. Section 12 – Method: Washer Integral:  [ 27.45 26.5 (.5469x 3 – 45.1543x 2 + 1241.2663x – 11354.36) 2 – (27.5 – x) 2 dx Volume: 932.03 mm 3

15. Section 13 – Method: Disk Integral:  [ 28.25 27.45 (2.22x 3 – 18.50975x 2 + 5143.0062x – 47615.3198) 2 dx Volume: 598.94 mm 3

16. Section 14 – Method: Disk Integral:  [ 31.65 28.25 (.2156x 3 – 19.8274x 2 + 606.7192x – 6171.9353) 2 dx Volume: 2342.68 mm 3

17. Section 15 – Method: Disk Integral:  [ 34.3 31.65 (.4887x 3 – 49.2722x 2 + 1654.781x – 18507.6127) 2 dx Volume: 1174.96 mm 3

18. Section 16 – Method: Disk Integral:  [ 37.2 34.3 (.3307x 3 – 36.1048x 2 + 1312.715x – 15890.971) 2 dx Volume: 908.16 mm 3

19. Section 17 – Method: Disk Integral:  [ 40.1 37.2 (.3903x 3 – 45.9024x 2 + 1798.2987x – 23464.8916) 2 dx Volume: 667.86 mm 3

20. Total Volume: 89715.01 mm 3

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…