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A cylinder has a surface area of 224 pie square meters and a diameter of 14 meters. Find the height of the cylinder.

1 Answer

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Answer: 9 meters

Explanation:

Hi, to answer this question we have to apply the formula:

Surface area if a cylinder (S)= 2 π r2 + 2 π r h

Where r is the radius and h is the height

Diameter is equal to 2r , so in our case:

14 =2r

r = 14/2 = 7 meters

Replacing with the values given and solving for h:

224 pi = 2 π 7^2 + 2 π 7 h

224 π - 2 π 7^2 / 2 π 7= h

703.71 -307.87 /43.98 = h

9 = h

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