How Do You Find the Lateral and Surface Areas of a Cylinder?

The lateral area of a cylinder is the circumference of its base times its height
Since the bases are congruent circles, we only have to worry about finding the area of one of them
The surface area is just the lateral area plus the areas of the two bases

1. The lateral area is the part of the cylinder that does not include the circular bases
2. The height of the rectangle is the height of the cylinder, which is 7 in
3. The length of the rectangle is the circumference of the circular base, which is the radius, 3 in, times 2π
1. Since the bases are congruent circles, we only have to worry about finding the area of one of them
2. Remember, the area of a circle is πr²
1. We really need to know the area of both bases combined to find the surface area
2. Fortunately, we can multiply one of the areas by 2 to get their combined area
1. We just found the areas of one base and the lateral area
2. The lateral area is 131.88in² and the area of a base is 28.26in²
3. 131.88in²+28.26in² is the total surface area, it's 188.4in²

Find the lateral and surface areas of the cylinder.