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yersanabria

Answer:

The mentioned milk truck can hold:

  • 3927 ft^3 of milk.

Step-by-step explanation:

As you can see, the question is asking about the volume of the milk truck, to obtain the volume of a cylinder, first we must to find the area of the surface side, in this case is a circle, to find the area of a circle when we have the diameter is:

  • Area of a circle = [tex]\pi *\frac{\ D^{2} }{4}[/tex]

Where D is the diameter given (10 feet), now we replace and operate:

  • Area of a circle = [tex]\pi *\frac{\ (10 ft)^{2} }{4}[/tex]
  • Area of a circle = [tex]\pi *\frac{\ 100 ft^{2} }{4}[/tex]
  • Area of a circle = [tex]\pi *25 ft^{2}[/tex]
  • Area of a circle = 78.54 ft^2 approximately

Now, with the data of the area, we can calculate the volume with the formula below:

  • Volume of a cylinder = Area of the circle * height
  • Volume of a cylinder = 78.54 ft^2 * 50 ft
  • Volume of a cylinder = 3927 ft^3

With the calculations, we can see the milk truck can hold 3927 cubic feet of milk with those dimensions.

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