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A cylinder-shaped barrel has a diameter of 3 feet and a height of 4.5 feet. If the barrel is empty, which is closest to the minimum amount of water needed to completely fill the barrel?

Respuesta :

BHmohammad
diameter= 3
radius =1.5
height= 4.5

volume= pi*r^2*h
=pi*1.5^2*4.5 = 31.8
asuwafohjames

    The minimum amount of water needed to completely fill the barrel is 31.8 ft³.

To calculate the amount of water needed to completely fill the cylindrical barrel, we use the formula below.

Formula:

  • V = πr²h................ Equation 1

Where:

  • V = minimum about of water needed to completely fill the barrel
  • r = Radius of the cylinder-shaped barrel
  • h = Height of the barrel

From the question,

Given:

  • r = 3/2 = 1.5 feet
  • h = 4.5 feet
  • π = 3.14

Substitute these values into equation 1

  • V = 3.14(1.5²)(4.5)
  • V = 31.7925
  • V ≈ 31.8 ft³

Hence, the minimum amount of water needed to completely fill the barrel is 31.8 ft³.

Learn more about volume here: https://brainly.com/question/1972490

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