Question

How much larger is the volume of a cylinder with a height of 8.5 inches and a radius of 4 inches compared to a cylinder with a volume of 390 cm3?

Answer
cm3 larger.

Answer 1

`\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h= 8.5\\ r= 4 \end{cases}\implies V=\pi (4)^2(8.5)\implies V=136\pi \\\\\\ V\approx 427.26~cm^3~\hfill \stackrel{\textit{difference of both cylinders}}{\stackrel{larger}{427.26}~~ - ~~\stackrel{smaller}{390}~~ = ~~37.26}`