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What percent of the surface area of the ottoman is green (not including the bottom)? Round to the nearest tenth.

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What percent of the surface area of the ottoman is green (not including the bottom-example-1
User Cerno
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1 Answer

3 votes

Answer:

36.4 % is the surface area of the ottoman is green .

Explanation:

Formula


Surface\ area\ of\ a\ cylinder = 2 \pi r h + \pi r^(2)

(Not included the bottom surface area)

Where r is the radius and h is the height .

As shown in the diagram.

h = 6 + 8

= 14 in

r = 16 in

Put the values in the formula


Surface\ area\ of\ whole\ ottoman = \pi ( 2 r h + r^(2))

Putting the value in the above


Surface\ area\ of\ whole\ ottoman = \pi ( 2* 16* 14 + 16* 16)


Surface\ area\ of\ whole\ ottoman =\pi ( 448+256)


Surface\ area\ of\ whole\ ottoman = \pi (704)\ in

Now find out the surface area of the green ottoman .

r = 16 in

h = 8 in

Put all the values in the formula


Surface\ area\ of\ green\ ottoman = \pi ( 2 r h)


Surface\ area\ of\ green\ ottoman = \pi ( 2* 8* 16)


Surface\ area\ of\ green\ ottoman = \pi ( 256)\ in

Formula


Percentage = (Surface\ area\ of\ green\ ottoman* 100)/(Total\ surface\ area\ of\ whole\ ottoman)

Putting the values in the above


Percentage = ( 256 \pi* 100)/( 704 \pi)


Percentage = (25600)/(704)

Percentage = 36.4 % (Approx)

Therefore the 36.4% is the surface area of the ottoman is green .



User Hossein Hajizadeh
by
8.4k points

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