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Cylinders are three-dimensional figures that consist of two circular bases connected by a curved surface. Whether you are solving a mathematical problem or trying to find the volume of a cylindrical container, calculating the total area of a cylinder is an essential skill to have. In this guide, we will explore the necessary steps to determine the total area of a cylinder accurately. By understanding the formula and principles behind it, you will be able to master the art of calculating the total area of a cylinder and apply it to various real-life scenarios. So, let’s dive in and unravel the secrets of calculating the total area of a cylinder!
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The total area of a figure is the sum of the areas of all its faces. To find the area of the cylinder, you need to find the area of the two bases and add the area of the surrounding face. The formula for the area of a cylinder is A = 2πr 2 + 2πrh.
Steps
Calculate the area of 2 circles (2 x (π xr 2 ))
- If it is a puzzle problem, the radius can be a given fact. The problem can also give diameter data, i.e. the distance from one side point to the other on the circle and passing through the center of the circle. The radius is half the length of the diameter.
- You can use a radius ruler if you are calculating the total area of a truly cylindrical object.
- To find the area of the base, simply substitute the radius 3 cm into the equation to find the area of the circle: A = πr 2 . Here’s how to do it: [3] X Research Source
- A = r 2
- A = x 3 2
- A = x 9 = 28.26 cm 2
Calculate the area of the surrounding face (2π xrxh)
Add the two results together ((2) x ( π xr 2 )) + (2π xrxh)
Advice
- If the height or radius includes a square root, refer to How to multiply square roots and How to add and subtract square roots for more information.
Warning
- Always remember to double the area of the base to include the second base in the calculation.
This article is co-authored by a team of editors and trained researchers who confirm the accuracy and completeness of the article.
The wikiHow Content Management team carefully monitors the work of editors to ensure that every article is up to a high standard of quality.
This article has been viewed 37,262 times.
The total area of a figure is the sum of the areas of all its faces. To find the area of the cylinder, you need to find the area of the two bases and add the area of the surrounding face. The formula for the area of a cylinder is A = 2πr 2 + 2πrh.
In conclusion, calculating the total area of a cylinder is a straightforward process that involves finding the area of the curved surface and the area of the two bases. By using the appropriate formulas, the dimensions of the cylinder can be plugged in to determine the total surface area. This calculation is important in various applications, such as construction, engineering, and mathematics. It allows individuals to accurately measure and plan for the amount of materials needed for a cylinder-shaped object, as well as understand its overall size and capacity. By following the steps outlined in this guide, anyone can easily calculate the total area of a cylinder and use this information in their respective fields of study or work.
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