A cylinder of radius 12 cm and height 28 cm is kept on top of an inverted cone, which is covered with a lid. The height of the cone is 33.33% more than it radius. Then the cylinder is filled with water up to a height of 14 cm and the lid is removed such that the top of the water level forms a circumference of 6 π. Find the final level of water in the cone.?

Option 5 : 4 cm

The figure is shown below:

[ alt="F1 S.G. N.J. 17.09.2019 D 1" src="//storage.googleapis.com/tb-img/production/19/09/F1_S.G._N.J._17.09.2019_D%201.png" style="width: 185px; height: 245px;">

The radius of the cylinder and cone is 12 cm.

Now, the height of the cone is 33.33% more than its radius.

The height of the cone is 16 cm.

[ alt="F1 S.G. N.J. 17.09.2019 D 2" src="//storage.googleapis.com/tb-img/production/19/09/F1_S.G._N.J._17.09.2019_D%202.png" style="width: 201px; height: 166px;">

As per similar triangles, we get

⇒ 3 / h = 12 / 16

⇒ H = 4 cm.