Can you help me find the volume?

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My teacher requires work being shown, if it is not to much trouble. Please show work!!! Thank you!!!!

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Answer 1 · 2017-03-03T06:34:51

Given

$R \to The outer radius of the cylinder = 6 m$ $R->"The outer radius of the cylinder"=6m$

$r \to The inner radius of the cylinder = 2 m$ $r->"The inner radius of the cylinder"=2m$

$h \to The height of the cylinder = 8 m$ $h->"The height of the cylinder"=8m$

The material volume of the cylinder

$V = outer volume - inner volume$ $V="outer volume "- " inner volume"$

$\Rightarrow V = π R^{2} h - π r^{2} h$ $=>V=piR^2h-pir^2h$

$\Rightarrow V = π h (R^{2} - r^{2})$ $=>V=pih(R^2-r^2)$

$\Rightarrow V = 3.14 \times 8 \times (6^{2} - 2^{2}) m^{3} = 803.84 m^{3}$ $=>V=3.14xx8xx(6^2-2^2)m^3=803.84m^3$