How to Calculate the Volume of a Cylinder: 4 Steps

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How to Calculate the Volume of a Cylinder: 4 Steps
How to Calculate the Volume of a Cylinder: 4 Steps
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A cylinder consists of a simple geometric shape with two equal and parallel circular bases. To calculate the volume of a cylinder, just know the height (h) and radius (r) and fit them into a simple formula: V = hπr2.

Check out the step-by-step instructions below.

Steps

Calculate the Volume of a Cylinder Step 1

Step 1. Measure the radius of the base circle

Since the two circles are equal, you can measure the radius of either one. Use a ruler to measure the largest part of the circle. Take the result and divide by 2. That way you get a more accurate result than measuring half the diameter. Let's imagine that the radius of the circle in this article is equal to 2.5 cm. Write down the measurement.

  • If you know the diameter measurement, divide it by 2 to get the radius measurement.
  • If you know the circumference measure, divide it by 2π to get the radius measure.
Calculate the Volume of a Cylinder Step 2

Step 2. Calculate the area of ​​the base circle

use the formula A = πr2 to find the area of ​​the circle. Just fit the radius measure found in the previous step.

  • A = π x 12 =
  • A = π x 1.
  • Since π (pi) is approximately 3.14, the area of ​​the circular base can be said to be 3.14 times the radius squared value.
Calculate the Volume of a Cylinder Step 3

Step 3. Measure cylinder height

Height is the distance between the edges of the two bases. Write down the measurement. In our example, let's use the height of 10 centimeters.

Calculate the Volume of a Cylinder Step 4

Step 4. Multiply the base area by the height

The volume of the cylinder is like the volume of the circular base extended over the entire height of the cylinder. You already know that the area of ​​the circular base is 3.14 times the radius squared. In our example, the radius is 2.5 cm. The height here is equal to 10 cm. So, just multiply π (3, 14) by the radius squared (2, 5 x 2, 5 = 6, 25) and by the height (10). That is, the volume is equal to 3, 14 x 6, 25 x 10 = 196, 25 cm3.

Always use cubed units in the final answer, as volume is a measure of three-dimensional space

Tips

  • After calculating the area of ​​the circle, multiply it using the height. In other words, you're basically stacking the base of the circle until you reach the height of the can. Since you calculated the area, this will equal the volume.
  • Develop math problems that require calculating the volume of a cylinder. This way you can prepare yourself for real life situations.
  • Diameter is the longest line in a circle or circumference, that is, the largest measurement that can be taken between two points within a circle or circumference. To get the diameter, fit the ruler's zero to the edge of the circle and note the largest measurement you made without taking the zero mark from the edge of the circle.
  • Make sure the measurements are accurate.
  • The calculator makes it very easy to calculate the volume..
  • Maybe it's easier to find the diameter and divide it by 2 to get the radius than looking for where the exact middle of the circle is.

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