A rectangular sheet of paper of dimensions `30 cmxx16 cm` can be transformed into an open ended cylinder in two ways. Find the ratio of volumes of two cylinders thus formed.

A rectangular sheet of paper 30cmx×18cm can be transformed into the curved surface of a right circular cylinder in two ways namely, either by rolling the paper along its length or by rolling it along its breadth. Find the ratio of the volumes of the two cylinders, thus formed.

A rectangular piece of paper 11 cm xx 4 cm is folded without overlapping to make a cylinder of height 4 cm. Find the volume of the cylinder.

A metallic sheet is of rectangular shape with dimensions 48cmxx36cm . An open box is made by cutting off squares of side 8 cm from each and folding up the flaps. Find the volume of the box.

30 circular plates, each of rdius 14 cm and thickness 3 cm are placed in one above the another to form a cylindrical solid. Find volume of the cylinder so formed.

50 circular plates each of radius 7 cm and 1 thickness 1/2 cm are placed one above another to form a solid right circular cylinder. Find the total surface area and volume of the cylinder so formed.

Metal spheres, each of radius 2 cm, are packed into a rectangular box of internal dimensions 16cmxx 8cm xx 8cm . When 16 spheres are packed the box is filled with preservative liquid. Find the volume of this liquid (in cm 3) Give your answer to the nearest integer.

Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius 30 cm is 60/sqrt3 cm. Also find the maximum volume of the cylinder.

Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius 10 cm is 20/sqrt3 cm. Also find the maximum volume of the cylinder.

Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius 20 cm is 40/sqrt3 cm. Also find the maximum volume of the cylinder.

A solid cone of base radius t 10 cm is to be cut into two parts through the mid point of its height , by a plane parallel to the base. Find the ratio in the volume of two parts of the cone