Answer to Question #64605 in Calculus for Basty

Question

23. An open-topped cylindrical pot is to have volume 250 cm3.The material for the bottom of the pot costs 4 cents per cm2; that for its curved side costs 2cents per

cm2. What dimensions will minimize the total cost of this pot?

24. A storage container is to be made in the form of a right circular cylinder and
have a volume of 28p m3. Material for the top of the container costs $5 per
square metre and material for the side and base costs $2 per square metre.
What dimensions will minimize the total cost of the container?