Question

The 3/4th part of a conical vessel of internal radius 5 cm and height 24 cm is full of water. The water is emptied into a cylindrical vessel with internal radius 10 cm. Find the height of water in cylindrical vessel. ​

Answer 1

Answer:

volume of cone ×3/4 = ammount of water in cone

volume of cone = 1/3πr²h

(1/3)×π×5²×24=π×8×25

volume of cone =200πcm²

ammount of water = (3/4)×(1/3)πr²h

=πr²h/4

200πcm²/4

50πcm²

water is emptied in cylindrical vessel,

ammount of water in cylinder=50πcm²

volume of water covered in cylinder=πr²h

50πcm²=π(10)²h. (π cut with π)

50/(10)²=h

50/100=h

1/2cm=h

0.5cm=h of water in cylinder.

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