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A right circular cylinder is inscribed in a right circular cone of altitude a and base b. Find the radius of the cylinder if its lateral area is equal to the lateral area of the cone which surmounts the cylinder.
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Let the radius of the cylinder be r. Then its height is a(b−r)/b (by similar triangles). So
Last edited by Muggleton (2009-01-16 15:07:58)
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