Of all the closed cylindrical cans (right circular) of a given volume of 100 cubic. cm. find the dimensions of the can which has the minimum surface area.

Find the surface area of a cylinder of volume 448 pi cu.cm and height 7cm :

Of all the cylinders with given surface area, show that the volume is maximum when height is equal to the diameter of the base .

Radius of a cone is 10cm, volume 3140 cubic centimeter. Calculate total surface area.

Show that semi-vertical angle of right circular cone of given surface area and maximum volume is sin^-1(1/3) .

In the newly constructed auditorium in the school, there are 8 cylindrical shaped pillars of same size. Each pillar has a height of 4 cm . Dlameter of the pillar is 1 meter. i. Find the curved surface area of a pillar. ii. Find the curved surface area of 8 pillars. iii. If it cost 160 rupees to paint one square metre, how much will it cost?

A right circular cylinder is inscribed in a given cone of radius R cm and height H cm as shown in the figure. Find the Surface area S of the circular cylinder as a function of x.

Slant height of a square pyramid is 30 cm and surface area 3456cm^2 . Find the volume of the pyramid?