Graduated Measuring Cup

thingiverse

Simple graduated cylinder - with a twist! To make it easier to label, this is a graduated cylinder within a tower. Has pouring spouts on both sides, to accommodate left-headed or right-handed people. This started out as a math exercise: determine the heights of various cylinders to hold different volumes. Developing in ml is easy: each ml of volume fits in 1 cm^3. 1 cm = 10 mm, so 1 cm^3 = 1000 mm^3. To convert to ounces, you need to know that 1 fluid ounce = 29.574 ml. For a cylinder, the volume is base * height. The area of the base is pi * (r^2). To fit on a small footpring printer (I use a Monoprice Select Mini) with maximum x, y, and z of 120 mm, I decided that I would create a cylinder of the appropriate radius to that each 10mm in height equaled 1 ounce. So, V= pi * (r^2) rearranging the equation to solve for r: sqrt(V/pi) = r if Volume = 29.574, then r = sqrt(29.574/pi) r = sqrt(29.574/3.1416) r= sqrt(9.4137) r = 3.068 Since r= 3.068, then the diameter of the base = 2*r = 6.136 cm 6.136 cm = 61.36 mm