TS EAMCET 14-Sep-2020 Shift 1 Solved Paper

A vessel in the shape of an inverted cone of height 10ft and semi vertical angle 30° is full of water. Due to a hole at the vertex, the slant height of the water in the vessel is decreasing at a constant rate of

1

√3

feet per minute. The rate (in cu. feet/min) at which the volume of water in the vessel is decreasing, when the volume of water is

8π

√3

cubic feet, is