Respuesta :

lateral surface area = circumference time 7
C = 2(pi)r    2(pi)6 = 12 pi
12 pi times 7 = 84 pi
area of the top and bottom circle = pir^2    pi(6)^2 = 36 pi 
since there are two circles multiply 2 to the area making it 72 pi

84 pi + 72 pi (area of two circles added together) = about 490.0885 ft^2

The surface area of the cylinder is 490 square ft.

What is cylinder?

"A cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance".

For the given situation,

Radius of the cylinder, r = 6 ft

Height of the cylinder, h = 7 ft

Formula to find the surface area of the cylinder, A = 2πr (h+r)

On substituting the above values,

[tex]A=2[/tex] × π × [tex]6 (6+7)[/tex]

We know, π = 3.14,

⇒[tex]A = 2[/tex] × 3.14 × [tex]6[/tex] × [tex]13[/tex]

⇒[tex]A = 489.84[/tex] ≈ [tex]490[/tex]

Hence we can conclude that the surface area of the cylinder is            490 square ft.

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