Question

An open cylindrical vessel of internal diameter 7 cm and height 8 cm stands on a horizontal table. Inside this is placed a solid metallic right circular cone, the diameter of whose base is 3 1/2 cm and height 8 cm. Find the volume of water required to fill the vessel. If this cone is replaced by another cone, whose height is 1 3/4 cm and the radius of whose base is 2 cm, find the drop in the water level.

Answer 1

Diameter of the base of the cylinder = 7 cm

Therefore, radius of the cylinder = 7/2 cm

On placing the cone into the cylindrical vessel, the volume of the remaining portion where the water is to be filled

Let h be the height of water which is dropped down.