The volume of this cylinder is equal to 11,852.9 \(ft^3\).
Given the following data:
- Height of circular cylinder = \(19\frac{3}{4}\) ft.
- Diameter of circular cylinder = \(1\frac{2}{5} H\)
Diameter of circular cylinder = \(1\frac{2}{5} \times 19\frac{3}{4}=\frac{7}{5} \times \frac{79}{4} =\frac{553}{20} =27.65\;ft\)
Radius = \(\frac{diameter}{2} =\frac{27.65}{2} =13.825\;ft\).
How to calculate the volume.
Mathematically, the volume of a cylinder is given by this formula:
\(V = \pi r^2h\)
Where:
Substituting the given parameters into the formula, we have;
\(V = 3.14 \times 13.825^2 \times 19.75\\\\V = 62.015 \times 191.131\)
V = 11,852.9 \(ft^3\).
Read more on volume of a cylinder here: brainly.com/question/21367171