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

Answer: 9 meters

Step-by-step 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