Answer :
The volume of the steel barrel with the given diameter and depth is 138.474ft³.
Hence, option C) 138.474 cubic feet is the correct answer.
What is a cylinder?
A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
The volume of a cylinder is expressed as;
V = π × r² × h
Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )
Given the data in the question;
- Diameter of the steel barrel d = 6ft
- Radius r = d/2 = 6ft/2 = 3ft
- Depth or height h = 4.9ft
- Constant pi π = 3.14
Volume of the steel barrel V = ?
We substitute our values into the expression above.
V = π × r² × h
V = 3.14 × (3ft)² × 4.9ft
V = 3.14 × 9ft² × 4.9ft
V = 138.474ft³
The volume of the steel barrel with the given diameter and depth is 138.474ft³.
Hence, option C) 138.474 cubic feet is the correct answer.
Learn more about volume of cylinder here: brainly.com/question/16788902
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