For the purposes of this blog, please take the role of my 8th grade math students. This blog will be where I post assignments and general announcements for the class.
This past week you have learned about calculating the volume of different 3-dimensional figures, given valuable information about the figures. Here, you will first examine the photo provided above. Then, you will determine which formula from the list below will you need to find the volume of the item in the photo. Next, list what information is necessary to calculate the volume. Finally, explain how comfortable you are finding the volume of the figures introduced this week. Share which concepts pertaining to volume you would like to be retaught. Type all of your thoughts pertaining to this post in the comments below. This is simply for evaluation purposes.
Volume of a Cylinder: V= πr^2 h
Volume of a Cone: V= (πr^2 h)/3
Volume of a Sphere: V= (4πr^3)/3
(π: 3.14, r: radius, h: height)
Well considering the shape of a traffic cone is literally a cone, I would deduce the formula for finding the 'volume of a cone: v=(3.14*r^2 h)/3' is correct. In order to calculate this formula one must know the height of the cone, and also determine the radius of the widest part of the cone. However when figuring the volume of this cone, since it's hollow, would you have your students solve for the volume of the negative space, then deduct that from the original answer? A colleague and I were discussing this very concept the other day. She creates STEM and STEAM education lessons for teachers, and she was mentioning a formula problem very similar to this and how important it is when teaching a concept such as volume that it actually get applied to real life subjects.
ReplyDeleteYou have gotten me excited! I did not think you all would go so in-depth with this! But to answer your question, I would have my students to calculate the volume pertaining to the exterior of the cone, meaning that they will include the hollow portion of the cone as if it was filled. I would allow students who may come after school or on the weekends for enrichment to tackle this from the "hollow" angle.
DeleteAs Amanda said, the volume could be measured by the hollow interior rather than exterior measurements. If you wanted to get really detailed, you could also count the thin cylinder at the base of the cone as well.
ReplyDeleteIt's obvious that one could find the volume of what the cone can contain or the actual exterior. I was not too worried about you all pointing that out. However, I was wondering if anyone was going to notice the slight cylindrical shape at the bottom! Group D is offically awesome! You guys really know your math!
DeleteThe formula needed to calculate the volume for the picture is V=(3.14*r^2 h)/3. This formula is to find the volume of a cone. So in order to find the volume of a cone you must find the radius of the cone and the height. To go in a little more detail you need calculate the volume of the hollow space inside the cone and volume of the exterior measurements of the cone. Then you would subtract the smaller volume (coming from the hollow space) from the larger volume (coming from the exterior measurments). This would give you the volume as a whole for the cone.
ReplyDeleteThen, you will determine which formula from the list below will you need to find the volume of the item in the photo.
ReplyDeleteWell when I examine the photograph provided and notice I am working with an object know as a Cone, I would say that based off of deductive reasoning alone that I should use the Volume formula intended for the use of a cone. Volume of a Cone: V= (πr^2 h)/3.
Next, list what information is necessary to calculate the volume.
When looking at the equation I look at what I know, I know Pie = 3.14… so I don’t know the values for R or H. So in order to figure out the Volume I’d need the height of the cone and the radius of the cone.
Finally, explain how comfortable you are finding the volume of the figures introduced this week. Share which concepts pertaining to volume you would like to be retaught. Type all of your thoughts pertaining to this post in the comments below. This is simply for evaluation purposes.
I feel very comfortable, once given the information needed to plug them in the needed equation. Thanks to my great teacher of course.