A solid of revolution is formed by rotating about the \( x \)-axis, the area between the \( x \)-axis, the lines \( x=0 \) and \( x=1 \) and a curve through the points with the following co-ordinates: \begin{tabular}{|c|c|c|c|c|c|} \hline\( x: \) & 0.00 & 0.25 & 0.50 & 0.75 & 1.00 \\ \hline\( y: \) & 1.0000 & 0.9896 & 0.9589 & 0.9089 & 0.8415 \\ \hline \end{tabular} Estimate the volume of the solid formed using Simpson's rule. A. 2.81 B. 4.72 C. 5.21 D. 3.75
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We need to estimate the volume of a solid of revolution formed by rotating a curve around the x-axis. The curve is defined by points given in a table. We are asked to use Simpson's rule to estimate this volume. Show more…
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