Question

A cylindrical pressure vessel has a height of 9 feet and a diameter of 6 feet. How much gas can the pressure vessel hold when full? A. 54`pi` cubic feet B. 81`pi` cubic feet C. 108`pi` cubic feet D. 324`pi` cubic feet

Answer 1

81 pi or 254.469004941

Answer 2

since the diameter of the base of the cylinder is 6 feet, then its radius is half that, or 3 feet.

`\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=9 \end{cases}\implies V=\pi (3)^2(9)\implies V=81\pi`