The lateral side of a cylinder is essentially a rectangle that has been rolled up to form the curved shape of the cylinder. The height of the rectangle would be the same as the height of the cylinder, which is 7.5 inches.
To find the length of the rectangle that forms the lateral side, we need to find the circumference of the base of the cylinder. The diameter of the base is given as 5 inches, so the radius is half of that, or 2.5 inches.
The circumference of a circle is calculated as π times the diameter, or πd. Therefore, the circumference of the base of the cylinder is 3.14 x 5 = 15.7 inches.
Now that we know the length of the lateral side rectangle is 15.7 inches and the height is 7.5 inches, we can calculate the area of the lateral side by multiplying the two together:
Area = height x length
Area = 7.5 x 15.7
Area = 117.75 square inches
So, the area of the lateral side of the cylinder is approximately 117.8 square inches.
The diameter of the base of a cylindrical can is 5 inches. The height of the can is 7.5 inches. Determine the area of the lateral side. Round your answer to the nearest tenth. (Use 3.14 for π.)
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