How much pizza is in a pizza? First, let’s calculate the area A of a round pizza of radius z!
Let the pizza now have a height of a and let’s calculate the volume!
Thus, what is the amount of pizza we get? In fact, it’s
The volume of a pizza with radius z and height a is pizza!
Here’s your explanation: You might remember that the area A of a circle with radius z is given by A=π ⋅ z². A pizza is approximately the shape of a cylinder, so to get its volume, we have to multiply its area by its height. Thus the volume V of a pizza with height a is given by V=a⋅ A = pi ⋅ z ⋅ z ⋅ a!
If you’re interested in a more thorough explanation of where the formula for the area of a circle comes from, there are a lot of great articles here on Medium. Check out, for example, the visual explanation by Waldo Otis in this Article.
This is the first part of a series of 1 Minute Math, where I’ll write about easy to understand and fun Math that may be explained and understood in a minute or less. It’s not aimed to give you a deep or thorough understanding of Math, but rather to give you something to giggle and give you a less serious answer to the question “What do you do with Math?”.