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aivan3 [116]
2 years ago
7

A milk truck has a diameter of 10 and feet and a height of 50 feet. How much milk can the truck hold?

Mathematics
1 answer:
Jet001 [13]2 years ago
8 0

Answer:

The mentioned milk truck can hold:

  • <u>3927 ft^3 of milk</u>.

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 = \pi *\frac{\ D^{2} }{4}

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

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

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
  • <u>Volume of a cylinder = 3927 ft^3</u>

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

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