Tag Archives: tangent

A cylinder is placed within a cone as shown, so that the top of the cone and cylinder share the same plane and centre. The cone is of height 18cm and radius 3cm. What height must the cylinder have if its volume is to be maximum? You must use calculus and show any derivatives that you need to find when solving this problem. You do not have to show that the height you find will give a cylinder of maximum volume.

(e) A cylinder is placed within a cone as shown, so that the top of the cone and cylinder share the same plane and centre. The cone is of height 18cm and radius 3cm. What height must the cylinder have if its volume is to be maximum? You must use calculus and show any derivatives […]