Solution
- The amount of plastic needed to cover the paper towel is simply the amount of plastic required to cover the surface area of the paper towel.
- Thus, the amount of plastic needed is simply the surface area of the paper towel.
- The paper towel is in form of a cylinder, therefore, the formula for finding the surface area of the paper towel
[tex]\begin{gathered} A=2\pi rh+2\pi r^2 \\ where, \\ h=height\text{ of the cylinder} \\ r=radius \end{gathered}[/tex]
- We have been given:
[tex]\begin{gathered} r=3in \\ h=11in \end{gathered}[/tex]
- Thus, the amount of plastic required to cover the paper towel is
[tex]\begin{gathered} A=2\pi rh+2\pi r^2 \\ A=2\pi(3)(11)+2\pi(3^2) \\ A=66\pi+18\pi \\ \therefore A=84\pi in^2\approx263.89in^2 \\ \\ \text{ Using }\pi=3.14, \\ A=84\times3.14=263.76in^2 \end{gathered}[/tex]
Final Answer
The answer is OPTION D
