A cylindrical can with closed bottom and closed top is to be constructed to have a volume of 200 cubic inches. The material used to make the bottom and top costs $0.06 per square inch, and the material to make the side curved Area of curved surface A = (7d)h surface costs $0.03 per square inch. The curved surface can be unrolled to form a rectangle having the same height of the can and a length equal to the circumference of the h = height of can d = diameter Volume of can can. The top and bottom are circles with the same diameter as the can. Find the dimensions of the can (height and -h 4 Area of top and bottom= diameter) that minimize the total cost and find the cost. See figure. Show all steps of your mathematical solution clearly to receive credit.
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
Calculus 11th Edition - Ron Larson
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