$A$ tank is filled with water up to a height of $1 \, m$. $A$ hole is made at a distance of $20 \, cm$ from the top. Find the horizontal distance from the base of the tank where the water strikes the ground in $cm$.

$A$ cylindrical tank is filled with water to a level of $3 \,m$. $A$ hole is opened at a height of $52.5 \,cm$ from the bottom. The ratio of the area of the hole to that of the cross-sectional area of the tank is $0.1$. The square of the speed with which water will be coming out from the orifice is $(g=10 \,ms^{-2})$.

The top of a water tank is open to air and its water level is maintained. It is discharging $0.74\,m^3$ of water per minute through a circular opening of $2\,cm$ radius in its wall. The depth of the centre of the opening from the level of water in the tank is close to........ $m$

$A$ cylindrical vessel of $40 \text{ cm}$ radius is completely filled with water and its capacity is $528 \text{ dm}^3$. The vessel is placed on a solid block of exactly the same height as the vessel. If a small hole is made at $70 \text{ cm}$ below the top of the water level,then the horizontal range of water falling on the ground in the beginning is . . . . . . $\text{cm}$.

Water is filled in a cylindrical vessel of height $H$. $A$ hole is made at height $z$ from the bottom,as shown in the figure. The value of $z$ for which the range $(R)$ of the emerging water through the hole will be maximum is:

$A$ large open tank has two holes in its wall. One is a square hole of side $a$ at a depth $x$ from the top and the other is a circular hole of radius $r$ at a depth $4x$ from the top. When the tank is completely filled with water,the quantities of water flowing out per second from both holes are the same. Then $r$ is equal to ..........