Now, after we know how to find the surface area of a cylinder, let's derive appropriate formulas for the surface area of a right circular cylinder. To calculate the base surface area, you need to compute the area of a circle with the radius Show
Estimation of the lateral surface area is even easier. Because the area of a rectangle is the product of its sides, we can write that:
where
Finally, the total surface area of the cylinder formula is simply the sum of the base surface area and the lateral surface area:
or or With our surface area of a cylinder calculator, you can perform all the calculations in many different units. If you want to learn more about area unit conversion, check out our area converter now! In the advanced mode of this calculator, you can also calculate the volume of a cylinder, but we also have a dedicated tool called cylinder volume calculator. 💡 The interesting fact is that every cylinder with the same heights and base areas has the same volume. It doesn't matter whether it is a right or oblique cylinder. Please disable adblock in order to continue browsing our website.Unfortunately, in the last year, adblock has now begun disabling almost all images from loading on our site, which has lead to mathwarehouse becoming unusable for adlbock users. Since a cylinder is closely related to a prism , the formulas for their surface areas are related.
Remember the formulas for the lateral surface area of a prism is p h and the total surface area is p h + 2 B . Since the base of a cylinder is a circle, we substitute 2 π r for p and π r 2 for B where r is the radius of the base of the cylinder. So, the formula for the lateral surface area of a cylinder is L . S . A . = 2 π r h . Example 1: Find the lateral surface area of a cylinder with a base radius of 3 inches and a height of 9 inches.
L . S . A . = 2 π ( 3 ) ( 9 ) = 54 π inches 2 ≈ 169.64 inches 2 The general formula for the total surface area of a cylinder is T . S . A . = 2 π r h + 2 π r 2 . Example 2: Find the total surface area of a cylinder with a base radius of 5 inches and a height of 7 inches.
T . S . A . = 2 π ( 5 ) ( 7 ) + 2 π ( 5 ) 2 = 120 π inches 2 ≈ 376.99 inches 2 Download Article Download Article The surface area of a shape is the sum of the area of all of its faces. To find the area of a cylinder, you need to find the area of its bases and add that to the area of its outer wall. The formula for finding the area of a cylinder is A = 2πr2 + 2πrh.
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Advertisement ReferencesAbout This ArticleArticle SummaryX To find the surface area of a cylinder, use the equation 2πr2 + 2πrh. Start by inserting the value of the radius of the circles and the height of the longest edge of the cylinder into the equation. Once you have all of the variables, begin solving the first part of the equation by squaring the radius, multiplying by pi, and then multiplying by 2. Solve the second part of the equation by multiplying the radius, height, and pi together, and then multiply by 2. To get the surface area of the cylinder, add the two values together and record your answer in units squared! If you need help finding the radius of the circles, keep reading the article! Did this summary help you? Thanks to all authors for creating a page that has been read 418,115 times. Did this article help you? |