![]() Example 2: Find the Surface Area of a Cylinder when given Height and Radiusįind the surface area of the cylinder below. Therefore, the surface area is about 62.83m 2. Next, substitute 2m for r and 3m for h into the equation. Solution for Example 1:įirstly, write down the given figures: radius (r = 2m) and height (h = 3m). Example 1: Find the Surface Area of a Cylinder when given Height and Radiusįind the surface area of the cylinder below. Don’t forget to write the cubit unit together with the answer. If not, convert either of them to match the other. Make sure all measurement units are the same. You’ll need the cylinder’s radius and height. Here’s a quick guide to finding the surface area of a cylinder: S=2r 2+2πrh where: r2=area of the circle or base 2πr=length of the surface obtained from the circle’s circumference h=height of the cylinder or width of the surface S=Area of base 1+Area of base 2+Area of rectangle To find the total surface area of the cylinder, add the areas of the two circles and the area of the rectangle, as seen in the illustration above. Now that you have the rectangle’s length (2πr) and width (h), you can compute its area by multiplying them (2πr x h) but that will not give you the total surface area of the cylinder. The rectangle’s width is the same as the height of the cylinder. (C = 2πr) refers to the curved length around the circle, so “uncurving” the bases (label) would give you the length of the rectangle. Spreading the label gives us a rectangle (See illustration below). To better understand a cylinder’s surface area, imagine a soda can with its label or wrapper unrolled. ![]() Surface area (SA or S) is measured in square units, such as square meters (m 2), square centimeters (cm 2), and square inches (in 2). To find the surface area of a cylinder, add up the areas of the bases and the area of the rectangular surface, as expressed in this formula. Related Reading: Volume of a Cylinder – Formula & Examples How to Find the Surface Area of a Cylinder: Examples of cylinder-shaped objects are soda cans and pipes. Its height is the distance between the two bases, while the radius is the distance from the center of a base to any point on the same base. ![]() What is a Cylinder?Ī cylinder is a tube-shaped object with two same-sized circular bases, parallel straight sides, and a circular or oval cross-section. Let’s learn how to determine the surface area of a cylinder.
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