Can you help me find the volume?

Question

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

1818 views around the world

You can reuse this answer
Creative Commons License

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

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

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

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

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