Cannara's soup company has created a new can. It has a diameter of 3 in and a height of 5 in. If the label on the can covers all but the top and bottom, what is the approximate area of the label? Use 3.14 for .

Respuesta :

Answer:

[tex] area = 47.1~in.^2 [/tex]

Step-by-step explanation:

You need to find the lateral area of a cylinder. The lateral surface of a cylinder is a rectangle. Its length is circumference of the base, and its width is the height of the cylinder. Just find the area of that rectangle.

circumference = (pi)d

d = 3 in.

height = h = 5 in.

[tex] area = length \times width [/tex]

[tex] area = \pi d \times h [/tex]

[tex] area = (3.14)(3~in.)(5~in.) [/tex]

[tex] area = 47.1~in.^2 [/tex]