Question: A torus (also known as donut) is a mathematical object formed by revolving the region bounded by the circle x^2 + y^2 = r^2 about

A torus (also known as "donut") is a mathematical object formed by revolving the region bounded by the circle x^2 + y^2 = r^2 about the line x = R, where 0 < r lessthanorequalto R and both are constants. "Tori? is the plural of "torus". A. Set up and calculate the Volume of a general torus. B. Set up and calculate the Surface Area of a general torus. C. Suppose you enjoy eating donuts for the glaze on the surface, and you don't really care for the dough on the inside. Let's call S/V = Surface Area/Volume the surface area-to-volume ratio of our torus. Is it possible to design a donut with a maximum surface glaze per volume? What are the dimensions of the donut?

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