Respuesta :
Given:
Height of cylinder, h = 9 cm
Radius, r = 3 cm
Total amount of paper the company has = 8138.88 cm²
Let's find the number of labels that can be made given that the label covers only the side.
Here, we are to apply the formula for the surface area of a cylinder.
We have:
[tex]SA=2\pi rh+2\pi r^2[/tex]The 2πr² represents the area of the top and bottom circle of the cylinder.
Since the label covers only the side, we are to exclude the 2πr².
Hence. we have:
[tex]SA_{label}=2\pi rh[/tex]WHere:
r = 3 cm
h = 9 cm
Thus, we have:
[tex]\begin{gathered} SA_{label}=2*3.14*3*9 \\ \\ SA_{label}=169.56\text{ cm}^2 \end{gathered}[/tex]Now, the number of labels they can make is:
[tex]\begin{gathered} \text{ number of labels = }\frac{8138.88\text{ cm}^2}{169.56\text{ cm}^2} \\ \\ \text{ number of labels = 48} \end{gathered}[/tex]Therefore, the company can make 48 labels.
ANSWER:
48 Labels
