The can shown below has a diameter of 5 inches and a height of 6.5 inches. The can's label covers the entire lateral surface of the can. How many square inches are covered by the label of the can? Use 3.14 for pi.

Answer 1

The lateral surface area of a cylinder is given by the formula:

Lateral surface area = height * circumference

First, we need to find the circumference of the can using the formula for the circumference of a circle:

circumference = 2 * pi * radius

Given that the diameter is 5 inches, the radius is half of that, so the radius is 5/2 = 2.5 inches.

Now, we can calculate the circumference:

circumference = 2 * 3.14 * 2.5
circumference = 15.7 inches

Now we can find the lateral surface area:

Lateral surface area = 6.5 * 15.7
Lateral surface area = 102.05 square inches

Therefore, the label of the can covers 102.05 square inches.