Respuesta :
Given:
A soup can is given to be 4 inches tall, with a radius of 1.3 inches and a label is wrapped all around the lateral surface.
To Find:
The amount of paper required to make the label.
Answer:
32.65 square inches of paper are required so as to make the label of the soup can.
Step-by-step explanation:
A soup can is in the shape of a cylinder.
With the given dimensions, the height of the cylinder is 4 inches which we can denote as h.
The radius is given as 1.3 inches which we can denote as r.
Since the paper label is wrapped all around the lateral surface, we can find the lateral surface area of the cylindrical soup can to find the amount of paper that is necessary.
The lateral surface area of a cylinder is given by the expression
[tex]2\pi rh[/tex]
We put in the values of h = 4 inches and r = 1.3 inches to obtain the surface area.
So,
[tex]2\pi rh\\\\=(2)(3.14)(1.3)(4)\\\\=32.65[/tex]
Thus, 32.65 square inches of paper are required so as to make the label of the soup can.
