Calculus
posted by Shannon .
A cylinder is inscribed in a right circular cone of height 6.5 and radius (at the base) equal to 6. What are the dimensions of such a cylinder which has maximum volume?

there are lots of solutions to this online. A good one is at
http://answers.yahoo.com/question/index?qid=20080427160136AACsLX6
where they show that the largest such cylinder has volume 4/9 the volume of the cone. That is, when the cylinder has 1/3 the height of the cone. 
796
Respond to this Question
Similar Questions

math!
A cylinder is inscribed in a right circular cone of height 8 and radius (at the base) equal to 5. What are the radius and height of such a cylinder which has maximum volume? 
Business Calculus
A cylinder is inscribed in a right circular cone of height 8 and radius (at the base) equal to 8. What are the dimensions of such a cylinder which has maximum volume? 
Calculus
A right circular cylinder is inscribed in a cone with height h and base radius r. Find the largest possible surface area of such a cylinder. 
Calculus
A cylinder is inscribed in a right circular cone of height 8 and radius (at the base) equal to 2. What are the dimensions of such a cylinder which has maximum volume? 
Math: Calculus
A cylinder is inscribed in a right circular cone of height 3.5 and radius (at the base) equal to 7. What are the dimensions of such a cylinder which has maximum volume? 
Math
A cylinder is inscribed in a right circular cone of height 8 and radius (at the base) equal to 2.5. What are the dimensions of such a cylinder which has maximum volume? 
Calculus
A cylinder is inscribed in a right circular cone of height 5.5 and radius (at the base) equal to 7. What are the dimensions of such a cylinder which has maximum volume? 
calculus
Find the maximum volume of right circular cylinder that can be inscribed in a cone of altitude 12 cm and base radius 4 cm, if the axes of the cylinder and con coincide. 
Calculus
A cylinder is inscribed in a right circular cone of height 5.5 and radius (at the base) equal to 2 . A) What are the dimensions of such a cylinder which has maximum volume? 
Math  Optomization
A cylinder is inscribed in a right circular cone of height 6.5 and radius (at the base) equal to 5.5. What are the dimensions of such a cylinder which has maximum volume?