Y by
In the International Smithery Olympiad (ISO), a blacksmith must forge a lance consisting of a 4 inch long cylindrical wooden handle (with volume 25\pi inches) attached to a 12 inch long aluminum conical head whose tip (the outermost 10% of its length) is plated in steel. If the radius of the cylindrical handle is half the radius of the cone, how much steel plating is needed to cover the tip? Answer in units square inches.
Note: Pardon for the lack of formatting, my account is new and I can't use math mode. Better check out my solution in the pdf for LaTeX formatting and better organization.
Note: Pardon for the lack of formatting, my account is new and I can't use math mode. Better check out my solution in the pdf for LaTeX formatting and better organization.