Answer:
[tex]Area = 229.6125in^2[/tex]
Step-by-step explanation:
Given
[tex]h = 14in[/tex] --- height
[tex]d =4.5in[/tex] --- diameter
Required
The minimum amount of paper needed
This implies that we calculate the surface area of the can (cylinder)
This is calculated as:
[tex]Area = 2\pi r(r + h)[/tex]
Where
[tex]r = \frac{1}{2}d[/tex]
So, we have:
[tex]r = \frac{1}{2} *4.5[/tex]
[tex]r = 2.25[/tex]
This gives:
[tex]Area = 2 * 3.14 * 2.25(2.25 + 14)[/tex]
[tex]Area = 2 * 3.14 * 2.25*16.25[/tex]
[tex]Area = 229.6125in^2[/tex]
