Respuesta :

Answer:

[tex]T = 1300[/tex]

Step-by-step explanation:

Given

[tex]Radius, r = 9\ in[/tex]

[tex]Height, h = 14\ in[/tex]

See attachment

Required

Determine the total surface area, T

T is calculated using:

[tex]T = 2\pi r(r + h)[/tex]

Substitute values for r and h

[tex]T = 2\pi * 9(9 + 14)[/tex]

[tex]T = 2\pi * 9(23)[/tex]

Remove bracket

[tex]T = 2\pi * 9*23[/tex]

[tex]T = 2\pi * 207[/tex]

Take [tex]\pi = 3.14[/tex]

So, we have:

[tex]T = 2 * 3.14 * 207[/tex]

[tex]T = 1299.96[/tex]

[tex]T = 1300[/tex] --- approximated.

Hence, the surface area is 1300 square inch

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