A soup can has a diameter of 4 inches and the height of the can is 7 inches. Desiree needs to design a label for the soup can. Approximately how many square inches does the label take up?

Respuesta :

Answer:

87.96 square inches

Step-by-step explanation:

The soup can is a cylinder, and we can find how many square inches the label will take up by finding the lateral surface area

Use the formula, LA = 2[tex]\pi[/tex]rh

The diameter is 4 inches, so the radius is 2 inches

Plug in the radius and height into the formula, and solve:

LA = 2[tex]\pi[/tex]rh

LA = 2[tex]\pi[/tex](2)(7)

LA = 28[tex]\pi[/tex]

= 87.96

So, the label will take up approximately 87.96 square inches