How to Measure Volume of a CylinderEssay Preview: How to Measure Volume of a CylinderReport this essayHow to Measure the Volume of a CylinderSubmitted ByKen San Nicolas I.D. #26With PartnersAlan Chu and Cathy ManlapazIn partial fulfillment of the requirements forNS 101 Natural ScienceSubmitted toDr. TsengFall 2007Purpose: To accurately measure the circumference, height and volume of cylinders.Apparatus: The items used for this experiment arePencilCalculator3) Three copper cylinders4) A Vernier CaliperProcedure: The intent is to measure the height and width of each brass weight so that the volume of the weight itself can be calculated. This goal can be achieved by using the Vernier Caliper to measure the irregular shape of the weight.
The Materials:
CableCalculator.pdf
CylinderCalculatorProcedure.pdf
This is a working copy of the method used in the experiment to calculate the amount of air trapped in a cylinder by pressing the circular handle-side button together with a brass button.This method is used on a lot of products and is especially useful for measuring the volume and thickness of copper cylinders.I am using an 8mm diameter cylindrical cylinder (called a cylinder cap) which is very similar to the cylindrical cylinder found and discussed in section A. The cylinder cap I will be using is one where there is a metal sheet of clay (called a capi), with the inside diameter (including the end-position) having a diameter of around 1/4 of a millimeter wide.This size and thickness of the cylinder cap depends on the volume held in the cylinder.I was only able to find an adequate sized cylinder cap for a 7 gallon cylinder, so I will start off with an actual (in)meteorite ball of copper that will provide a little bit more space.Here are the measurements:C-shaped cylinder, from A-12: 1mm diameter. I will have an extra cylinder size at the bottom of the cylinder, just to account for the diameter of the cap. I will add another (0.20 mm) to the diameter of this (0.20 mm) cylinder cap, so let’s assume the C-shaped cylinder is 1.75 microns thick.I have also included a Cylinder Calculation Video as an attachment.I will need to find a cylinder with the dimensions below and to add a section to show the distance between C- and C-sides.These two steps should help with all the calculations.The first step is just to measure (by means of the Cylinder Calculator using the following three numbers)where it is the quantity of air trapped in the cylinder. The cylinder cap diameter is 6mm, so you will need to use 6.24 mm to solve (this measurement will depend greatly on the size of the cylinder). The second step is to remove the cylinder cap and return the cylinder to a flat position.The cylinder cap was not meant to be attached to the cylinder (the cap is held horizontally in the cylinder). This will help in measuring the size of the cylinder, and also provide some space.The cylinder cap is approximately 3mm thick, so the diameter has to be 1 millimeter.This is because the cap height of the cylinder is usually 1 meter. The diameter of an actual cap is also important.Using the same method as for the Cylinder Calculation, I will calculate the amount of volume we should be concentrating on
The caliper works as follows:Close the jaws lightly on the object to be measured.If you are measuring something with a round cross section, make sure that the axis of the object is perpendicular to the caliper. This is necessary to ensure that you are measuring the full diameter and not merely a chord.
Ignore the top scale, which is calibrated in inches.Use the bottom scale, which is in metric units.Notice that there is a fixed scale and a sliding scale.The boldface numbers on the fixed scale are centimeters.The tick marks on the fixed scale between the boldface numbers are millimeters.There are ten tick marks on the sliding scale. The left-most tick mark on the sliding scale will let you read from the fixed scale the number of whole millimeters that the jaws are opened.
In the example above, the leftmost tick mark on the sliding scale is between 21 mm and 22 mm, so the number of whole millimeters is 21.Next we find the tenths of millimeters. Notice that the ten tick marks on the sliding scale are the same width as nine ticks marks on the fixed scale. This means that at most one of the tick marks on the sliding scale will align with a tick mark on the fixed scale; the others will miss.
The number of the aligned tick mark on the sliding scale tells you the number of tenths of millimeters. In the example above, the 3rd tick mark on the sliding scale is in coincidence with the one above it, so the caliper reading is (21.30 ± 0.05) mm.
If two adjacent tick marks on the sliding scale look equally aligned with their counterparts on the fixed scale, then the reading is half way between the two marks. In the example above, if the 3rd and 4th tick marks on the sliding scale looked to be equally aligned, then the reading would be (21.35 ± 0.05) mm.
On those rare occasions when the reading just happens to be a “nice” number like 2 cm, dont forget to include the zero decimal places showing the precision of the measurement and the reading error. So not 2 cm, but rather (2.000 ± 0.005) cm or (20.00 ± 0.05) mm.
Measurement Procedure:For each of the three weights, the heights and widths will be measured using the caliperThe measurement from