Question

There are two vessels - one is in the shape of a cylinder and the other in the shape of a right circular cone. Both the vessels have the same height and the same base radius. The cylindrical vessel and the conical vessel are filled with milk and water respectively and are both filled to half of their maximum heights. The cone is standing on its vertex. The contents of the conical vessel are emptied into the cylindrical vessel. What is the ratio of water to milk in the cylindrical vessel now -

• A. 1 : 1
• B. 1 : 3
• C. 1 : 9
• D. 1 : 4

Answer 1

Answer: (B)

1 : 3

Volume of the cylinder filled with milk is V$=\pi r^{2}h=3x$(say)

Volume of cone filled with water is V$=\frac{1}{3}\pi r^{2}h=x$

We know that a cone is 1/3 of a cylinder.

If the water is filled into the cylinder then, the ratio of water to milk will be $x:3x$ which is $1:3$