40. A conical vessel, with base radius 5 crand height 24 cm, is full o

1.	40. A conical vessel, with base radius 5 crand height 24 cm, is full of water. Thiwater is emptied into a cylindrical vessof base radius 10 cm. Find the height t
Answer» 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 = 13πr2h = 13×227×52×24 = 44007 cm3 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 = π×102×h = 44007 cm3 ⇒227×100×h = 44007⇒h = 440022×100 = 2 Therefore, height of water level in cylindrical vessel = 2 cm

40. A conical vessel, with base radius 5 crand height 24 cm, is full of water. Thiwater is emptied into a cylindrical vessof base radius 10 cm. Find the height t

Answer»

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 = 13πr2h = 13×227×52×24 = 44007 cm3

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 = π×102×h = 44007 cm3

⇒227×100×h = 44007⇒h = 440022×100 = 2

Therefore, height of water level in cylindrical vessel = 2 cm