Question

Consider a cylinder with radius 4 cm and a height of 12 cm. Describe how to calculate the volume of the given cylinder and what the volume means.

Answer 1

$\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ -----\\ r=\stackrel{cm}{4}\\ h=\stackrel{cm}{12} \end{cases}\implies V=\pi (4)^2(12)\implies V=192\pi~cm^3$

192π is about 603.19 cm³.

well, it means if you grab a hmmmm cube, say that is 1cm x 1cm x 1cm, namely a 1cm tall, 1cm wide and 1cm long, whose value is 1cm³, you can fit 603.19 of those in that cylinder.