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The volume of this cylinder is equal to 11,852.9 [tex]ft^3[/tex].

Given the following data:

  • Height of circular cylinder = [tex]19\frac{3}{4}[/tex] ft.
  • Diameter of circular cylinder = [tex]1\frac{2}{5} H[/tex]
  • [tex]\pi = 3.14[/tex]

Diameter of circular cylinder = [tex]1\frac{2}{5} \times 19\frac{3}{4}=\frac{7}{5} \times \frac{79}{4} =\frac{553}{20} =27.65\;ft[/tex]

Radius = [tex]\frac{diameter}{2} =\frac{27.65}{2} =13.825\;ft[/tex].

How to calculate the volume.

Mathematically, the volume of a cylinder is given by this formula:

[tex]V = \pi r^2h[/tex]

Where:

  • h is the height.
  • r is the radius.

Substituting the given parameters into the formula, we have;

[tex]V = 3.14 \times 13.825^2 \times 19.75\\\\V = 62.015 \times 191.131[/tex]

V = 11,852.9 [tex]ft^3[/tex].

Read more on volume of a cylinder here: brainly.com/question/21367171

Answer:

11852.97.

explanation:

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