A right circular cylinder is inscribed in a sphere of diameter 8 cms. If the cylinder is open at both ends, find the largest possible surface area of the cylinder.

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The surface area of a cylinder, without the ends, is `LA=2pirh`

Since the cylinder is a right circular cylinder, we can draw a right triangle. Select a point on one of the ends. Draw a diameter from this point. From the point draw a segment perpendicular to the diameter to the other end of the cylinder.

The right triangle will have sides 2r,h, and 8. (2r since it is a...

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