Verified Answer :

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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 = \(1\frac{2}{5} H\)
  • \(\pi = 3.14\)

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:

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

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

Answer:

11852.97.

explanation:

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