Question

a conical vessel whose internal radius is 5cm and height 24 cm is full of water. the water is emptied into a cylindrical vessel with internal radius 10cmfind the height tp which the water rises

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

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