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 fu

Question

Sonbull [250]

3 years ago

14

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 fu

ll? A. 54`pi` cubic feet B. 81`pi` cubic feet C. 108`pi` cubic feet D. 324`pi` cubic feet

Mathematics

2 answers:

valentina_108 [34] · Answer 1 · 2022-08-17T00:37:44+03:00

valentina_108 [34]3 years ago

8 0

Answer:

81 pi or 254.469004941

notka56 [123] · Answer 2 · 2022-08-16T22:36:45+03:00

notka56 [123]3 years ago

5 0

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

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