Answer:
1457.7 cubic ft
Step-by-step explanation:
Volume of a cylinder= πr²h
where, r = radius = 8/2 = 4 ft
h = 29
Volume= π × 4² × 29 = 1457.7 cubic ft
[tex]\rule{300}{1}[/tex]
[tex]\diamond\large\blue\textsf{\textbf{Given question:-}}}[/tex]
A cylinder has a base of 8 feet and a height of 29 ft. What is its volume
in cubic feet (ft³)?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
We are asked to find the volume of a cylinder, which can be found using the following formula:-
[tex]\hookrightarrow\boxed{\bold{V=\pi r^2h}}[/tex]
Where:-
Provided Information:-
Solving for Volume:-
✳︎ [tex]\sf{V=\pi (4)^2(29)}[/tex]
On simplification,
✳︎ [tex]\sf{V=\pi (16)(29)}[/tex]
On further simplification,
✳︎ [tex]\sf{V=464\pi }[/tex]
Final step:-
✳︎ [tex]\sf{V\approx1,457.7\:ft^3}[/tex]
So we conclude that the volume of the given cylinder is
[tex]\ast[/tex] [tex]\sf{V\approx{1,457.7\:ft^3}}}[/tex]
[tex]\rule{300}{1}[/tex]
