## Activity 3. Calculating pi through geometry and weighting

• Calculating Pi by Weighting

We have to construct a prism with a squared base and a cylinder whose base in the circle inscribed in the square and both with the same height.

First we fill both with rice (the cylinder inside the prism) and weight the set, then we extract the cylinder and weight it as you can see in the following image

finally multiplying the quotient by 4 we will have pi.

So, follow the steps

1. Construct a prism with a square base (l=20cm) and height 10cm.
2. Construct a cylinder whose base is the circle inscribed in the square (remember what you did in the probability experiment) and height 10cm
3. Introduce the cylinder inside the prism.
4. Fill both with rice and weight them.
5. Extract the cylinder and weight it.
6. Calculate weight cylinder/total weight
7. 4 times this quotient is pi. Why?
8. Record your experiment and post your video
9. Take photos and post them
10. Don't forget to write an article for our magazine

APRIL 20

Following the instructions given above from Spain, find below the directions given to the French students for their assignment.

Your video or your written article for the magazine will include the elements listed below.

Insert the following keywords: cylinder, weight, mass, to weigh, radius, height, prism, ratio, circle...\bigskip

1. Give a title

2. State the problem in a short introduction (one or two sentences).

3.Describe the experiment held in the lab. Give your measurements found in your team.

4. Explain the math reasoning with formulas.

5.Calculate by inserting your own measurements in the formulas.

6. What is your final approximation of pi.

7. Compare your result to the real value of pi.