The total surface area of an industrial cylindrical autociave is to be limited to 20m2. If it is constructed to maximize the volume, what should be the ratio of the height to that of the radius? Based on the concept, if someone asks you for help in constructing a cylindrical tank with a top cover area of 100 cm3, accounting the minimum surface area and maximum volume, what would you recommend for its lateral area
Cylinders
A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.
Cones
A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.
The total surface area of an industrial cylindrical autociave is to be limited to 20m2. If it is constructed to maximize the volume, what should be the ratio of the height to that of the radius?
Based on the concept, if someone asks you for help in constructing a cylindrical tank with a top cover area of 100 cm3, accounting the minimum surface area and maximum volume, what would you recommend for its lateral area?
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