A student says the two cylinders below have the same surface. Explain the students error. (Use 3.14 for pi)
The student's error lies in assuming that the surface area of a cylinder depends only on the height and radius of the cylinder, and not on the shape of the cylinder itself. In reality, the surface area of a cylinder is calculated using the formula:
Surface Area = 2 * pi * radius * (radius + height)
While the two cylinders in question may have the same height and radius, their shapes are different. Cylinder A has a straight and flat top, while Cylinder B has a curved dome-shaped top. As a result, Cylinder B will have a larger surface area than Cylinder A, even though they have the same height and radius.
Therefore, the student's assumption that the two cylinders have the same surface area is incorrect.