A conical vessel whose internal base radius is 18 cm in height is 60 cm is full of a liquid. The entire liquid of the vessel is emptied into a cylindrical vessel with an internal radius of 15 cm. The height to which the liquid rises in the cylindrical vessel is?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 28.8 cm.
Conical vessel volume = 1/3πr12h1 where r1 = 18cm and h1 = 60cm
and cylindrical vessel volume = πr22h2
So, volume of conical = volume of cylinder then,
1/3(18)2 × 60 = π × 15 × 15h2
h2 = (324 × 20)/225
h2 = 28.8 cm