The volume of the cylinder depends on its radius and height. The volume of the cylinder is 49806.05 ft3.
The volume of the cylinder is defined as the three-dimensional space occupied by a cylinder.
Given that the height h of the cylinder is 22 1/4 ft. The diameter d of the cylinder is 2 2/5 times its height.
h = 22 1\4 ft = 89/4 ft
The diameter of the cylinder is calculated as given below.
[tex]d = \dfrac {12}{5} \times h[/tex]
[tex]d = \dfrac {12}{5} \times \dfrac {89}{4}[/tex]
[tex]d = 53.4 \;\rm ft[/tex]
The radius of the cylinder is given below.
[tex]r = \dfrac {d}{2}[/tex]
[tex]r = \dfrac { 53.4}{2}[/tex]
[tex]r = 26.7 \;\rm ft[/tex]
The volume of the cylinder is calculated as given below.
[tex]V = \pi r^2 h[/tex]
[tex]V = 3.14 \times (26.7)^2 \times \dfrac {89}{4}[/tex]
[tex]V = 49806.05 \;\rm ft^3[/tex]
Hence we can conclude that the volume of the cylinder is 49806.05 ft3.
To know more about the volume of the cylinder, follow the link given below.
https://brainly.com/question/12748872.
