The Surface Area of a Cylinder


Filed Under CSET Multiple Subject |

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Solving the surface area of a cylinder problem is something you need to know how to do for the CSET Multiple Subject exam. In this lesson we will jump right in and solve a surface area problem and then watch a video.

Problem: Suppose a water tank in the shape of a right circular cylinder is sixty feet long and sixteen feet in diameter. How much sheet metal was used in its construction?

We need to calculate the surface area of the water tank. The total surface area of the tank will be the sum of the surface areas of the sides and of the ends.


If the diameter is sixteen feet, then the radius is eight feet. The surface area of each end is given by the area formula for a circle with radius r:
(there are two end pieces, so we must multiply this by 2)
The surface area of the cylinder is the circumference of the circle, multiplied by the height:

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