Question

Paper towel rolls are covered with a plastic wrapper. How much plastic would be needed to cover the paper towel roll shown below?Use 3.14 pi

Answer 1

- 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

`\begin{gathered} A=2\pi rh+2\pi r^2 \\ where, \\ h=height\text{ of the cylinder} \\ r=radius \end{gathered}`

- We have been given:

`\begin{gathered} r=3in \\ h=11in \end{gathered}`

- Thus, the amount of plastic required to cover the paper towel is

`\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*3.14=263.76in^2 \end{gathered}`

Final Answer

The answer is OPTION D