Question

Water is being poured into a vessel in the form of an inverted right circular cone of semi vertical

angle 45°c in such a way that the rate of change of volume at any moment is proportional to the area

of the curved surfaces which is wet at that moment. Initially, the vessel is full to a height of 2 cms.

And after 2 seconds the height becomes 10 cm. Show that after 3.5 seconds from that start, the height

of water will be 16 cms.​

Answer 1

Answer:

Water is being poured into a vessel in the form of an inverted right circular cone of semi vertical

angle 45°c in such a way that the rate of change of volume at any moment is proportional to the area

of the curved surfaces which is wet at that moment. Initially, the vessel is full to a height of 2 cms.

And after 2 seconds the height becomes 10 cm. Show that after 3.5 seconds from that start, the height

of water will be 16 cms.