Mrs. Lynn's art class is making pencil holders out of soup cans. Each student is first covering a can with felt. What will the circumference of the piece of felt need to be in order to cover the bottom of the can? The diameter of the bottom of the can is 8 cm.

Respuesta :

Answer:

25.13 cm

Explanation:

Mrs. Lynn's art class is making pencil holders out of soup cans

These soup cans are definitely in cylindrical forms.

Each student is first covering a can with felt.

A felt is a type of material that is used for covering other objects. Here a felt is used to cover soup cans.

So if the diameter of the bottom of the can is 8 cm (i.e d = 8cm)

What will the circumference of the piece of felt need to be in order to cover the bottom of the can?

The felt will also take the circumference of a cylinder; and which is given by the expression

C = 2 πr

since diameter (d) = 8 cm

radius (r) = [tex]\frac{d}{2}[/tex]

r = [tex]\frac{8}{2}[/tex]

r = 4 cm

C = 2 × π × 4 cm

C = 2 × 3.142 × 4 cm

C = 25.13 cm

∴ the circumference of the piece of felt need to be 25.13 cm in order to cover the bottom of the can.