1.A drum in the shape of a right circular cylinder is required to have a volume of cubic centimeters. The top and bottom are made of material that costs F¢ per square centimeter; the sides are made of material that costs L¢ per square centimeters. (Hint: The formula for the volume of a right circular cylinder is V=pie r^2 , where r is the radius of the circular base and h is the height of the cylinder. The surface area of the sides can be determined by cutting the cylindrical shell vertically and flattening it out to get a rectangle whose dimensions can be determined.)
a)Express the total cost C of the material as a function of the radius r of the cylinder.
b)What is the cost if the radius is 25 cm?
c)Graph C=C(r) . Using the graph, for what value of r, approximately, is the cost C least?
Where F = 5, L =4
a)Express the total cost C of the material as a function of the radius r of the cylinder.
b)What is the cost if the radius is 25 cm?
c)Graph C=C(r) . Using the graph, for what value of r, approximately, is the cost C least?
Where F = 5, L =4