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}](https://tex.z-dn.net/?f=%5Cpi%20%2A%5Cfrac%7B%5C%20D%5E%7B2%7D%20%7D%7B4%7D)
Where D is the diameter given (10 feet), now we replace and operate:
- Area of a circle =
![\pi *\frac{\ (10 ft)^{2} }{4}](https://tex.z-dn.net/?f=%5Cpi%20%2A%5Cfrac%7B%5C%20%2810%20ft%29%5E%7B2%7D%20%7D%7B4%7D)
- Area of a circle =
![\pi *\frac{\ 100 ft^{2} }{4}](https://tex.z-dn.net/?f=%5Cpi%20%2A%5Cfrac%7B%5C%20100%20ft%5E%7B2%7D%20%7D%7B4%7D)
- Area of a circle =
![\pi *25 ft^{2}](https://tex.z-dn.net/?f=%5Cpi%20%2A25%20ft%5E%7B2%7D)
- <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>.