The cost of painting a cylindrical container is $0.04 per cm 2. Therefore, the radius of the cylinder is 17 feet. R 2 + 3r – 340.22 = 0 ……… ( a quadratic equation)īy solving the equation using the quadratic formula, we get, Let’s solve example problems involving the surface area of a cylinder.įind the total surface area of a cylinder whose radius is 5 cm and height is 7 cm.įind the radius of a cylinder whose total surface area is 2136.56 square feet, and the height is 3 feet.īy distributive property of multiplication on the RHS, we have, ![]() Where 2πr 2 is the top and bottom circular face area, and 2πrh is the area of the curved surface.īy taking 2πr as a common factor from RHS, we get Total surface area of a cylinder = 2πr 2 + 2πrh The formula for the total surface area of a cylinder is given as: The base area, B = Area of a circle = πr 2 The area of a cylinder formula The area of the curved surface = Area of a rectangle =l x w = πdh Where r = radius of the circular face and h = height of the cylinder. The curved surface of a cylinder is equal to a rectangle whose length is 2 πr and whose width is h. ![]() Therefore, the surface area or the total surface of a cylinder is equal to the sum of the base area times two and the area of the curved surface. To calculate the surface area of a cylinder, you need to find the Base Area (B) and Curved Surface Area (CSA). This article will discuss how to find the total surface area and lateral surface area of a cylinder. The surface area of a cylinder is the sum of two parallel and congruent circular faces and the curved surface area. How to Find the Surface Area of a Cylinder? ![]() In geometry, a cylinder is a three-dimensional figure with two circular bases parallel to each other and a curved surface. Surface Area of a Cylinder – Explanation & Examplesīefore we jump into the topic of a cylinder’s surface area, let’s review a cylinder.
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