Answer:
[tex]Area = 339.29\ in^2[/tex]
Step-by-step explanation:
Given
See attachment
Required
Determine the total surface area
From the attachment:
[tex]r = 3\ in[/tex] --- radius
[tex]h = 15\ in[/tex] --- height
The total surface area:
[tex]Area = 2\pi r(r + h)[/tex]
Substitute values for r and h
[tex]Area = 2\pi * 3(3 + 15)[/tex]
[tex]Area = 2\pi * 3(18)[/tex]
Remove bracket
[tex]Area = 2\pi * 3 * 18[/tex]
[tex]Area = 2\pi * 54[/tex]
[tex]\pi = \frac{22}{7}[/tex]
So, we have:
[tex]Area = 2 * \frac{22}{7} * 54[/tex]
[tex]Area = \frac{2 * 22 * 54}{7}[/tex]
[tex]Area = \frac{2376}{7}[/tex]
[tex]Area = 339.42[/tex]
Hence, the closest is:
[tex]Area = 339.29\ in^2[/tex]
