For the Measuring Your World Project my group and I decided to measure an Ice Cream Cone. We had a different idea at the beginning of this project but we found out that it was impossible to add all the functions, specially the trigonometric one. We couldn't apply it to the cone either so we decided to chose an ice cream cone with a different base, replacing the circle with a regular polygon. We decided to do this because it would be easier to apply the trig function.
We decided to change the base of the cone and see how we could find the different sides of the base with trig function and find its area with the given volume of the original cone.
Calculations:
We decided to change the base of the cone and see how we could find the different sides of the base with trig function and find its area with the given volume of the original cone.
Calculations:
Here I first found teh are of the circle and used the information to find the volume of the cone. Here I was able to apply the area function and the volume function to both of these. As I found the volume of the cone I collected that information for my next step in the problem which is explained in detail below.
In the corral problem, which we had been working on in the past was to find the area with the given lengths of each side, however this was reversed. We had the area of the base, found through the given volume of the cone to find the new one in a pentagon base. With the area function 1/2 bh we applied what we know about this new base and came up wuth 1/2(a^2/tan 36). With this we applied the trigonometric function of tangent to find the height of the right triangle within the equilateral triangle. When we solved the problem we were able to find the length of the missing side length which was 5.4 cm.
Overall, I think that it was a very interesting project. Not only was it a hard but it was an opportunity for us to overcome problems and solve the hard challenge. We were new to the formulas since I mentioned before we worked on the corral problem either the given side lengths and this one we had to find those. It was hard but it definitely helped us work harder. We worked well together and were able to grasp it quickly with what we already knew. We were able to work hard until the end and see good results no matter the challenges. We overcame these challenges by using the habits of mathematicians take apart and put back together and collaborate and listen. By taking apart our shapes we were able to split up the calculation into more simple formulas. By collaborating and listening we were able to constantly stay in contact with our partners and follow them along the math process to keep from confusion. In conclusion, I feel my group and I fulfilled all the requirements and create good quality work.
If you want to know about our ice cream problem I will leave a button below to lead you to our presentation.
Overall, I think that it was a very interesting project. Not only was it a hard but it was an opportunity for us to overcome problems and solve the hard challenge. We were new to the formulas since I mentioned before we worked on the corral problem either the given side lengths and this one we had to find those. It was hard but it definitely helped us work harder. We worked well together and were able to grasp it quickly with what we already knew. We were able to work hard until the end and see good results no matter the challenges. We overcame these challenges by using the habits of mathematicians take apart and put back together and collaborate and listen. By taking apart our shapes we were able to split up the calculation into more simple formulas. By collaborating and listening we were able to constantly stay in contact with our partners and follow them along the math process to keep from confusion. In conclusion, I feel my group and I fulfilled all the requirements and create good quality work.
If you want to know about our ice cream problem I will leave a button below to lead you to our presentation.