How to Calculate Cylindrical Volume

Author: Monica Porter
Date Of Creation: 15 March 2021
Update Date: 1 July 2024
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How to Find the Volume of a Cylinder | Math with Mr. J
Video: How to Find the Volume of a Cylinder | Math with Mr. J

Content

A cylinder is a simple shape with two bases that are parallel and equal. If you want to calculate the volume of a cylinder, all you need to do is find out its height (h) and radius (r), then replace the formula: V = hπr.

Steps

Method 1 of 1: Calculate Cylindrical Volume

  1. Find the base radius. You can choose any of the bottom faces to calculate as they are equal. If you already know the radius, you can go to the next step. If you don't know the radius, take the measure of the widest distance on the circle and then divide the result by 2. This will give a more accurate result than measuring half the diameter. Assuming the radius of a circle is 2.5 cm, write the result.
    • If you know the diameter of the circle, just divide it by 2.
    • If you know the period, divide that number by 2π to get the radius.

  2. Calculate the area of ​​the round bottom. To do this just use the formula to calculate the area of ​​the circle, A = πr. Plug the radius measurements into the formula like this:
    • A = π x 2.5 =
    • A = π x 6.25.
    • Since π is approximately 3.14 when rounded to 2 decimals, the base circle area is 19.63 cm.

  3. Find the height of the cylinder. If you already know your height, move on to the next step, otherwise use a ruler to measure it. The height of the cylinder is the distance of the two bases on the side. For example we have a cylinder height of 10 cm, write this number first. In the example image above, the value is taken to be 4 inches, you can project that value.

  4. Multiply the area of ​​the base by the height. You can understand cylindrical volume is simply the volume when the base area is placed together until the height of the cylinder. Since we already know that the base of the cylinder is 19.63 cm and the height is 10 cm, now just multiply them together to get the volume of the cylinder.19.63 cm x 10 cm = 196.3 cm This is your final answer.
    • Always represent your unit in a cube as we are doing the measurement in 3-dimensional space.
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Advice

  • Make sure your measurements are correct.
  • Do lots of practical exercises so that when you apply them in practice you will know what you should do.
  • It will be easier if you use a computer.
  • As a general rule, the volume of an object is equal to the area of ​​the base times the height of the object. (however in some cases it is not correct, eg cone).
  • Remember that the diameter is the largest chord in a circle or circle, in other words the measurement that gives the largest possible result between two points on the circle or circle. Select a circle edge at zero on the ruler / tape measure, and take the largest measurement possible without shifting the zero, which is the diameter measurement.
  • It is easier to find the diameter and divide by 2 to find the exact radius without having to determine the center of the circle.
  • Once you have calculated the area of ​​the base, consider multiplying by height as adding the bottom by height. In other words, you are simply "stacking" round bottoms until the height is reached, and once you've worked out the results, that's your volume.
  • The cylinder volume is calculated using formula V = πrh, and π is approximately equal to 22/7.