a conical vessel whose internal radius is 5 cm and height 24 cm full of water.the water is emptied into a cylinderical vessel with internal radius 10 cm. find the height to which water rises?
Internal radius of conical vessel = 5 cm
Height = 24 cm
Since the conical vessel is full of water, so volume of water = volume of vessel
So, volume of water =
Now, this volume of water is emptied in a cylindrical vessel.
So, suppose the height of level of water in the cylindrical vessel is h.
and radius of base of cylindrical vessel = 10 cm
So, volume of water in cylindrical vessel up to height h =
Therefore, height of water level in cylindrical vessel = 2 cm
Height = 24 cm
Since the conical vessel is full of water, so volume of water = volume of vessel
So, volume of water =
Now, this volume of water is emptied in a cylindrical vessel.
So, suppose the height of level of water in the cylindrical vessel is h.
and radius of base of cylindrical vessel = 10 cm
So, volume of water in cylindrical vessel up to height h =
Therefore, height of water level in cylindrical vessel = 2 cm