This free surface area calculator determines the surface area of a number of common shapes, including sphere, cone, cube, cylinder, capsule, cap, conical frustum, ellipsoid, and square pyramid. Explore the area or volume calculator, as well as hundreds of other calculators addressing math, finance, fitness, health, and more. Volume and surface area help us measure the size of 3D objects. We’ll start with the volume and surface area of rectangular prisms. From there, we’ll tackle trickier objects, such as cones and spheres. In words, the surface area of a cube is the area of the six squares that cover it. The area of one of them is a*a, or a 2. Since these are all the same, you can multiply one of them by six, so the surface area of a cube is 6 times one of the sides squared. Total Surface Area of a Cylinder. For high school geometry students that are not really fans of the geometry subject, it is problems like finding the surface area of a cylinder that often cause kids to shut their text books and give up or find a geometry tutor. A cylinder has 2 circular surfaces (the bases) with a combined area of 2*Π*r 2. A cylinder also has another surface, which, if rolled out, is a rectangle with one side measuring the height of the cylinder and the other side measuring the circumference of the base circles. That portion of the surface area, then, is 2*Π*r*h Surface area is important in chemical kinetics.Increasing the surface area of a substance generally increases the rate of a chemical reaction.For example, iron in a fine powder will combust, while in solid blocks it is stable enough to use in structures.For different applications a minimal or maximal surface area may be desired. Calculate the lateral surface area of a cylinder it is necessary in different situations. For example, you want to sew cushion cover-cushion and you need to determine the fabric consumption. Or are you going to paint round the barrel and have to calculate the amount of paint. To find the surface area of a cylinder add the surface area of each end plus the surface area of the side. Each end is a circle so the surface area of each end is π * r 2, where r is the radius of the end.There are two ends so their combinded surface area is 2 π * r 2.The surface area of the side is the circumference times the height or 2 π * r * h, where r is the radius and h is the height. how to find the surface area of a cylinder Kirk Framke. Loading. Unsubscribe from Kirk Framke?. Surface Area of a Cylinder 128-4.11 - Duration: 4:56. HCCMathHelp 231,023 views.