Question

The can 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?

Answer 1

102.1 square inches

Step-by-step explanation

The can's label covers the entire lateral surface of the can.

The area (in square inches) covered by the label of the surface can be gotten by finding the lateral surface area of the can.

That is:

`\begin{gathered} L\text{. S. A = 2 }\cdot\text{ }\pi\cdot\text{ r }\cdot\text{ h} \\ \text{where r = radius} \\ h\text{ = height} \end{gathered}`

Since radius is half of the diameter, we have that:

r = D / 2

r = 5 / 2

r = 2.5 inches

Therefore:

`\begin{gathered} LSA\text{ = 2 }\cdot\text{ }\pi\cdot\text{ 2.5 }\cdot\text{ 6.5} \\ \text{LSA = 102.1 square inches} \end{gathered}`

That is the area covered by the label.