Question

Which best describes the error in finding the surface area of the cylinder? (Given that 5 is the diameter and 10.6 is the height)

A. 31π was simplified incorrectly.

B. 25π+106π was added incorrectly.

C. Only one lateral surface area was added. The first term should have a factor of 2.

D. The area of only one base was added. The first term should have a factor of 2.

Answer 1

The error in finding the surface area of the cylinder is described by option D: The area of only one base was added. The first term should have a factor of 2. To correct the error, you need to multiply the area of the first base by a factor of 2, and then add the areas of the two bases and the lateral surface area to find the total surface area of the cylinder.

Step-by-step explanation:

The error in finding the surface area of the cylinder is described by option D: The area of only one base was added. The first term should have a factor of 2.

In order to find the surface area of a cylinder, you need to find the sum of the areas of the two bases and the lateral surface area. The formula for the lateral surface area of a cylinder is given by 2πrh. However, in this case, only one base was added, resulting in an incorrect calculation.

To correct the error, you need to multiply the area of the first base by a factor of 2, and then add the areas of the two bases and the lateral surface area to find the total surface area of the cylinder.