The surface area of a cylinder is the total area that the surface of the cylinder occupies. Think of a soda can. It has three surfaces: the top circle, the bottom circle, and the rectangle piece that creates the sides of the can. Therefore, add the areas of the two circles with the area of the rectangle to find the surface area.
How do you calculate the area of a circle?
The area of a circle is:
How do you calculate the area of the rectangle?
The area of a rectangle is:
The length is the distance around the edge of the can, which would be the circumference of the cylinder’s base. Since the cylinder’s base is a circle,
The width is the height of the cylinder, h. Thus, the area of the rectangle is:
The equation for the surface area of a cylinder is
Note that the two variables are r, radius, and h, height.
Find the surface area of a cylinder that has a height of 5 centimeters and a radius of 3 meters.
1. Find the surface area of a cylinder that has a height of 6 meters and a radius of 3 centimeters.
2. Find the surface area of a cylinder that has a height of 3 centimeters and a radius of 3 kilometers.
• Equation for the surface area of a cylinder is
• Ensure that the units are correct
• Units are square
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