Question

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

Answer 1

The mentioned milk truck can hold:

• 3927 ft^3 of milk.

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 *(\ D^(2) )/(4)`

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

• Area of a circle =
  `\pi *(\ (10 ft)^(2) )/(4)`
• Area of a circle =
  `\pi *(\ 100 ft^(2) )/(4)`
• Area of a circle =
  `\pi *25 ft^(2)`
• 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.