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 trapezoidal method. (b) Use the composite Simpson's 3/8 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 = 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 trapezoidal method. (b) Use the composite Simpson's 3/8 method.

Name: Numerical Methods Lecture 3. To estimate the surface area and volume o
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Description: Numerical Methods Lecture 3. To estimate the surface area and volume of a wine bottle, the radius of thebottle is measured at different heights. The surface area, S, and volume, V, can bedetermined by:S = 21["rdz and V = 1["r?dzUse the data given bel

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter61: Areas Of Circles, Sectors, And Segments

Section: Chapter Questions

Problem 50A

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