3. To estimate the surface area and volume of a wine bottle, the radius of the bottle is measured at different heights. The surface area, S, and volume, V, can be determined by: S = 27"rdz and V = n["r²dz Use the data given below to determine the volume and surface area of the vase: z (cm) | 0 | 2 4 6 8 10 11 11.9 | 12.4 13 | 13.5 13.8 14.1 13.6 12.1 12 14 16 18 10 r(cm) z (cm) 20 22 24 26 28 30 32 34 36 r (cm) | 8.9 4.7 4.1 3.5 3.0 2.4 1.9 1.2 1.0 (a) Use the composite rectangle method. (b) Use the composite trapezoidal method.
3. To estimate the surface area and volume of a wine bottle, the radius of the bottle is measured at different heights. The surface area, S, and volume, V, can be determined by: S = 27"rdz and V = n["r²dz Use the data given below to determine the volume and surface area of the vase: z (cm) | 0 | 2 4 6 8 10 11 11.9 | 12.4 13 | 13.5 13.8 14.1 13.6 12.1 12 14 16 18 10 r(cm) z (cm) 20 22 24 26 28 30 32 34 36 r (cm) | 8.9 4.7 4.1 3.5 3.0 2.4 1.9 1.2 1.0 (a) Use the composite rectangle method. (b) Use the composite trapezoidal method.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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Numerical Methods Lecture:
Please see the picture:
Transcribed Image Text:3. To estimate the surface area and volume of a wine bottle, the radius of the
bottle is measured at different heights. The surface area, S, and volume, V, can be
determined by:
S = 21["rdz and V = 1["r?dz
Use the data given below to determine the volume and surface area of the vase:
z (cm)
2
4 6 8
10
12
14
16
18
r (cm)
10
11
11.9 12.4 13 13.5 13.8 14.1 13.6 12.1
z (cm)
20
22
24
26
28
30
32
34
36
r (cm)
8.9
4.7
4.1
3.5
3.0
2.4
1.9
1.2
1.0
(a) Use the composite rectangle method.
(b) Use the composite trapezoidal method.
(c) Use the composite Simpson's 3/8 method.
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