The amount of paper needed for the label on the can is 13π square inches or 40.84 square inches.
In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
We have:
Height of the soup can h = 4 inches
The diameter of the soup can = 3 1/4 or 13/4 inches
The radius r = 13/8
The paper is needed for the label on the can = lateral surface area of the cylinder
= 2πrh
= 2π(13/8)(4)
= 13π square inches
or
= 40.84 square inches
Thus, the amount of paper needed for the label on the can is 13π square inches or 40.84 square inches.
Learn more about the cylinder here:
brainly.com/question/3216899
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