4346 Numerical integration methods can be used in problemswhere only measured or
Chapter 7, Problem 45(choose chapter or problem)
Numerical integration methods can be used in problems where only measured or experimentally determined values of the integrand are available. Use Simpson's rule to estimate the value of the relevant integral in these exercises.
Measurements of a pottery shard recovered from an archaeological dig reveal that the shard came from a pot with a flat bottom and circular cross sections (see the accompanying figure below). The figure shows interior radius measurements of the shard made every \(4 cm\) from the bottom of the pot to the top. Use those values to approximate the interior volume of the pot to the nearest tenth of a liter (\(1 L=1000 \mathrm{~cm}^{3}\)). [Hint: Use 6.2.3 (volume by cross sections) to set up an appropriate integral for the volume.]
Equation Transcription:
Text Transcription:
4 cm
1 L = 1000 cm^3
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