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Surface Area of Sphere = 4*Pi*r2 Surface Area of Cylinder = 2*Pi*r2+2*Pi*r*h If we set them as equal: 4*Pi*r2 = 2*Pi*r2+2*Pi*r*h ' Factor out 2*Pi*r 4*Pi*r2 = 2*Pi*r*(r+h) ' Divide both sides by 2*Pi*r 2*r=r+h ' Subtract r from both sides r=h Diameter = 2*r so h=d/2 In this case, d=16m h=8m

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Q: A sphere with a diameter of 16 meters has the same surface area as the total surface area of a right cylinder with the base diameter equal to the sphere diameter how high is the cylinder?
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