What is surface area of a cylinder

Choose a variable to represent it. Use [latex]3. Check: We leave it to you to check your calculations. Step 7. Answer the question. The volume is approximately [latex] The surface area is approximately [latex] Assume the can is shaped exactly like a cylinder.

Check: We leave it to you to check. Skip to main content. Module Geometry. Search for:. Cylinder is right when one of its bases lies exactly above the other base and oblique if it doesn't. It is worth mentioning that the base of a cylinder can be any plain, closed surface, e.

Keep reading if you want to learn what is the surface area of a cylinder formula and how to find the surface area of a cylinder. You may also want to estimate other parameters of a cylinder - just check out our right cylinder calculator!

To estimate the surface area of a cylinder, you need to visualize it as a net. It is as if you open the cylinder just like a carton box and then flatten it out. Use your imagination! And what will you get? The answer is that a right circular cylinder consists of two circles and one rectangle, as you can see it in the figure below. Therefore, the base surface area of a cylinder equals two times area of a circle with the radius r , and the lateral surface area of a cylinder is the area of a rectangle.

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 r. But remember that every cylinder has two bases! Thus, you need to multiply it by two:.

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:.

Finally, the total surface area of the cylinder formula is simply the sum of the base surface area and the lateral surface area :. With our surface area of a cylinder calculator, you can perform all the calculations in many different units. The formula to calculate the curved surface area of a cylinder is given as,. The total surface area of the cylinder is obtained by adding the area of the two bases and the area of the curved surface area. The area of any shape is the space occupied by it.

A cylinder has 2 flat surfaces which are usually circles and a curved surface that opens up as a rectangle. Consider the cylinder whose height is 'h' and a circular base with radius, 'r'. Let us open a cylinder and see this. So, the area of the cylinder is the area of the two circles whose base radius is 'r' and the area of the rectangle which is the curved surface. The surface area of a cylinder is equal to the surface area occupied by the bases of the cylinder within its boundary and the curved surface of the cylinder.

By following the steps mentioned below we can find the surface area of a cylinder. Now that we know the formula and method to calculate the surface area of the cylinder, let us now understand how to calculate it with the help of some solved examples. Example 1: The radius of a cylinder is 5 in. Find the surface area of the cylinder if the height of the cylinder is 15 in. Take pi as 3. Find the height of the cylinder if the radius of the base of the circle is 24 units.

The surface area of a cylinder is defined as the total area or region covered by the surface of the shape. The surface area of a cylinder is expressed in square units, like m 2 , in 2 , cm 2 , yd 2 , etc.