Respuesta :

Treat the ottoman as a cylinder.
area of the top surface is πr²=π*16²
The total lateral area (the side) is: π*d*h=2*16*π*(6+8)=28*16π (diameter is twice the radius, so d=2*16)
the area of the green part is: π*d*8=2*16**8π=16*16π
not including the bottom, the total area is the top plus the total side:16²π+16*28π=(16+28)*16π=44*16π

the percent of the green part is: 16²π/44*16π=16/44≈36%
Is 36% a choice?
Top brown surface = [tex] \pi r^{2} [/tex] = 3.142 x 16 x 16 = 804.352 square inches

Side Brown surface = [tex]2 \pi rh[/tex] = 2 x 3.142 x 16 x 6 = 603.264 square inches

Side Green surface = [tex]2 \pi rh[/tex] = 2 x 3.142 x 16 x 8 = 804.352 square

Total Surface area = 804.352 + 804.352 + 603.264 = 2211.968 square inches

% that is green = 804.352 ÷ 2211.968 x 100% = 36.37%

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