<PRE><B>Question 230606</B>
A sphere with a diameter of 16 mm 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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Surface of the sphere = 4*pi*r^2 = 256pi
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Surface of cylinder = 2pi*r*h + 2pi*r^2 = 256pi
pi*r*h + pi*r^2 = 128pi
pi*8*h + 64pi = 128pi
8h = 64
h = 8
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