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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. 54π
cubic feet

B. 81π
cubic feet

C. 108π
cubic feet

D. 324π
cubic feet

Respuesta :

TheAishtonSage
Hi There ^^

Answer :- ( B ) 81 π cubic feet


Explaination :-

[tex]We \: \: are \: \: given \: \: that \\ \\ \:

\: Height \: = \: 9 \: feet \\ \\

Diameter \: = \: 6 \: feet \\ \\

radius = 3 feet \\
\\ \\ Volume \: \: = \pi {r}^{2} h \\ \\ = \pi \times 3 \times 3 \times 9 \\ \\ = 81\pi \: {feet}^{3}
[/tex]
Thanks

Answer: B. 81π cubic feet

Step-by-step explanation:

The equation for cylinders V = π * r² * h

Plug in the numbers r = radius which is half of the diameter and h = height. Also leave out π because of the answer choices.

so... 3² * 9 = 81

81π