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

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.