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

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

Height of a cone is 40cm.Slant height is 41cm.Find diameter of its base.

Show that the right circular cone of least curved surface and given volume has an altitude equal to sqrt2 times the radius of the base.

Prove that the radius of the right circular cylinder of greatest curved surface area which can be inscribed in a given cone is half of that of the cone.

Show that all rectangles with a given perimeter, the square has the maximum area.

a) Radius of a cylinder is 10 cm and its height is 5 cm . Find the base area and the curved surface area of the cylinder. b) The curved surface area of a cylinder is equal to its base area and its height is 12 cm . What is its radius?

Fill in the blanks: the surface area of a solid cylinder of radius 2.0 cm and height 10.0cm is equal to _______ (mm)^2 .

What is the surface area of a cone of base diameter 30 centimetres and height 40 centimetres?

Calculate the surface area and volume of a sphere of radius '3 cm .'