2. To estimate the surface area and volume of a wine barrel, the diameter of he barrel is measured at different points along the barrel. The surface area, S, and volume, V, can be determined by: S = 27["rdz and V Use the data given in the table to determine the volume and surface area of the bаrrel. z (in.) | -18 | -12 | -6 | 0 d (in.) 6 12 18 2.6 3.2 4.8 5.6 6 6.2 a) Use the composite trapezoidal method. b) Use the composite Simpson's 1/3 method.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Numerical Methods Lecture:

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2. To estimate the surface area and volume of a wine barrel, the diameter of
the barrel is measured at different points along the barrel. The surface area, S,
and volume, V, can be determined by:
s – 2:["rdz
S = 21"rdz and V = n
Use the data given in the table to determine the volume and surface area of the
barrel.
z (in.)
-18 -12
-6
6
12
18
d (in.)0
2.6
5.6
6.2
3.2
4.8
(a) Use the composite trapezoidal method.
(b) Use the composite Simpson's 1/3 method.
(c) Use the composite Simpson's 3/8 method.
Transcribed Image Text:2. To estimate the surface area and volume of a wine barrel, the diameter of the barrel is measured at different points along the barrel. The surface area, S, and volume, V, can be determined by: s – 2:["rdz S = 21"rdz and V = n Use the data given in the table to determine the volume and surface area of the barrel. z (in.) -18 -12 -6 6 12 18 d (in.)0 2.6 5.6 6.2 3.2 4.8 (a) Use the composite trapezoidal method. (b) Use the composite Simpson's 1/3 method. (c) Use the composite Simpson's 3/8 method.
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