A right circular conical tank stands on its apex

PHYSICS · Subjective · CBSE · Physics · Mechanical Properties of Fluids · Mechanical Properties of Fluids

Problem

A right circular conical tank stands on its apex. The cone has a height of

1.5\,\text{m}

and a top radius of

0.50\,\text{m}

. A tiny orifice of area

8.0\times10^{-5}\,\text{m}^2

is drilled at the apex. Determine the instantaneous rate at which the water level is falling when the depth of water is

0.90\,\text{m}

. Take

g = 9.8\,\text{m s}^{-2}