The diameter d of a ball from American football is measured at different points along the z, see Fig.1. The surface area and the volume needs to be estimated. The surface area S and the volume V can be expressed as: z(in.) d(in.) Use the data of Table 1 to define the surface area and the volume of the ball by using composite Simpson's 1/3 method. Use hand calculations. 0 OO 1 0 2.6 d L S=2πSrdz; 0 L V = n [r³dz 0 Figure 1. Ball of American football 4 5.6 2 3 3.2 4.8 56 6 7 6.2 6 8 5.6 2 9 10 11 12 4.8 3.3 2.6 ON 0
The diameter d of a ball from American football is measured at different points along the z, see Fig.1. The surface area and the volume needs to be estimated. The surface area S and the volume V can be expressed as: z(in.) d(in.) Use the data of Table 1 to define the surface area and the volume of the ball by using composite Simpson's 1/3 method. Use hand calculations. 0 OO 1 0 2.6 d L S=2πSrdz; 0 L V = n [r³dz 0 Figure 1. Ball of American football 4 5.6 2 3 3.2 4.8 56 6 7 6.2 6 8 5.6 2 9 10 11 12 4.8 3.3 2.6 ON 0
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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Transcribed Image Text:The diameter d of a ball from American football is measured at different points along the z,
see Fig.1. The surface area and the volume needs to be estimated. The surface area S and
the volume V can be expressed as:
L
L
S=2л[rdz; V=л[r² dz
0
0
Use the data of Table 1 to define the surface area and the volume of the ball by using
composite Simpson's 1/3 method. Use hand calculations.
z(in.)
d(in.)
0
d
1
2
2.6 3.2
Figure 1. Ball of American football
4
5
6
5.6
6
6.2
3
4.8
7
6
8
5.6
9
4.8
10
3.3
Z
11 12
2.6
0
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