How to Estimate the Volumes of Materials in Cylinders

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Estimating the volumes of materials in cylinders is something you can do in your head, so long as you follow the right steps. Estimate the volumes of materials in cylinders with help from an experienced educator in this free video clip.

Part of the Video Series: Lessons in Math
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Video Transcript

Hi, my name is Marija. I'm a mathematician, and today I'm going to show you how to estimate the volume of materials in cylinders. So the first thing we need to know is the volume of a cylinder which is going to be Pi R squared H, R standing for the radius of the circular bases of the cylinder and H standing for the height of the cylinder. So let's go ahead and do an example so here's my cylinder and my circular base is going to have a radius of let's say 2 and my height is going to be 5. So the only thing that you really need to estimate in this formula is the value of Pi because you can't multiply in your head by any rational number. So always just estimate Pi to be 3, that's the easiest thing to do, take your R squared so my radius is 2, I square that and I get 4. After I multiply that by my height so I get 20. I'm going to multiply that by Pi which I'm estimating to be 3 and I get 60 and then it's volume so whatever my units let's say they were inches, it's going to be cubed so I'm going to get 60 inches cubed. So just know the formula Pi R squared H, estimate Pi to be 3 and then go ahead and multiply 3 times your height times your radius squared. My name is Marija and I just showed you how to estimate the volume of materials in a cylinder.

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