If the velocity of flow of water through a small hole is `0.6sqrt(2gy)`, where `g` is the acceleration due to gravity and `y` is the height of water level above the hole, find the time required to empty a tank having the shape of a right circular cone of base radius `a` and height `h` filled completely with water and having a hole of area `A_0` in the base.

Water flows out of a small hole in the wall of a large tank near its bottom. What is the speed of efflux of water when height of water level in the tank is 5.0 m ?

Find the time required for a cylindrical tank of radius 2.5m and height 3m to empty through a round hole of 2.5cm with a velocity 2.5sqrt(h)m/s,h being the depth of the water in the tank.

Water drains out of a vessel filled with water upto height h through a hole of area A in t seconds.If the height of the water is 4 h then how much time will be required for the water to drain out ?[Assume A lt lt A_(0) (area of tank ) ]

A hemi-spherical tank of radius 2 m is initially full of water and has an outlet of 12c m^2 cross-sectional area at the bottom. The outlet is opened at some instant. The flow through the outlet is according to the law v(t)=sqrt(0. 62gh(t)), where v(t) and h(t) are, respectively, the velocity of the flow through the outlet and the height of water level above the outlet and the height of water level above the outlet at time t , and g is the acceleration due to gravity. Find the time it takes to empty the tank.

A rectangular water tank of base 11 m xx 6m contains water upto a height of 5 m. If the water in the tank is transferred to a cylindrical tank of radius 3.5 m, find the height of the water level in the tank.

A rectangular water tank of base 11 m xx 6 m contains water up to a height of 5 m. If the water in the tank is transferred to a cylindrical tank of radius 1.75 m, find the height of the water level in the tank.

A cylindrical tank of height H is open at the top end and it has a radius r . Water is filled in it up to a height of h . The time taken to empty the tank through a hole of radius r' in its bottom is