To find the lateral area of a cylinder, multiply the circumference (πd) by the height (πdh). After you have this, you can find the total surface area by adding twice the area of the base (2πr2).
(Lateral area = πdh), (Surface area = πdh + 2πr2).
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A cylinder with a height of 4cm and a width of 10cm has a lateral area of about 125.66cm2
A right cylinder having a base radius of 12mm and a height of 60mm has a lateral area of approximately 4523.89mm2
Lateral Area= (2pi)x(radius)x(height) Try imagining that you take the lateral area and unfold it from the cylinder. If you imagine it correctly you get a rectangle. The height of the cylinder is the height of the rectangle. Then the circumference is the length. SO you multiply the circumference of the base times the height.
First, you figure out what the area of the top of the cylinder is, which in case is pi times radius squared. Then, you multiply the answer by two. Next, you find the lateral surface area of the cylinder by multiplying the circumference times the height. Since the problem only gives us the radius of the cylinder, we use the formula, two times pi times radius times the height, in order to find the lateral surface area of the cylinder. Now the final step. Add the answer you got for the first step, plus the lateral surface area of the cylinder, and this should give you the surface area of the can of soup.
The lateral area is the surface area of a 3D figure, excluding the area of any bases. For the lateral area of a cylinder, you would take the circumference of the base multiplied by the height of the cylinder to get the lateral area of the surface. It's basically splitting a can down one side, cutting the ends off completely, rolling it out flat, and figuring out the area of the resulting rectangle.