Answered

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Robert has a steel barrel with a diameter of 6 feet that can be filled to a depth of 4.9 feet with oil. What is the volume of the barrel?

Use pi = 3.14
A.
102.174 cubic feet
B.
162.594 cubic feet
C.
138.474 cubic feet
D.
132.3 cubic feet

Sagot :

nuhulawal20

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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