Question

Please help with question on the Image, Thanks.

Answer 1

Check the picture below.

`\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies a=√(c^2 - o^2) \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{17}\\ a=\stackrel{adjacent}{d}\\ o=\stackrel{opposite}{15} \end{cases} \\\\\\ d=√( 17^2 - 15^2)\implies d=√( 289 - 225 ) \implies d=√( 64 )\implies d=8 \\\\\\ \stackrel{\textit{radius is half the diameter}}{r=\cfrac{8}{2}}\implies r=4 \\\\[-0.35em] ~\dotfill`

`\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=4\\ h=15 \end{cases}\implies V=\pi (4)^2(15)\implies V\approx 754~cm^3`