Solved: Volume of a Lab Glass A glass container can be modeled by revolving the graph of

Chapter 7, Problem 64

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Volume of a Lab Glass A glass container can be modeled by revolving the graph of

\(y=\left\{\begin{array}{ll}\sqrt{0.1 x^{3}-2.2 x^{2}+10.9 x+22.2}, & 0 \leq x \leq 11.5 \\2.95, & 11.5<x \leq 15\end{array}\right.\)

about the x-axis, where x and y are measured in centimeters. Use a graphing utility to graph the function and find the volume of the container.

Text Transcription:

y={sqrt 0.1x^3-2.2x^2+10.9x+22.2, 0 leq x leq 11.5

2.95m, 11.5 < x leq 15