A tank containing water upto the height 15 m from the bottom of the tank. Find the speed and horizontal range of the water jet coming out through an orifice which is at 5 m above the bottom of the wtawer tank . {(Use g ` = 10 m s^-2)`

An underground water tank is in the form of a cuboid of edges 48 m, 36 m and 28 m. Find the volume of the tank.

Height of a tank in the form of an inverted cone is 10 m and radius of its circular base is 2 m. The tank contains water and it is leaking through a hole at its vertex at the rate of 0.02m^(3)//s. Find the rate at which the water level changes and the rate at which the radius of water surface changes when height of water level is 5 m.

Selvi's house has an overhead tank in the shape of a cylinder. This is filled by pumping water from a sump (an underground tank) which is in the shape of a cuboid. The sump has dimensions 1.57 m x 1.44 m x 95cm. The overhead tank has its radius 60 cm and height 95 cm. Find the height of the water left in the sump after the overhead tank has been completely filled with water front the sump which had been full. Compare the capacity of the tank with that of the sump. (Use pi = 3.14)

A kite is movgin horizontally at the height of 151.5 metres. If the speed of the kite is 10m/s, how fast is the string being let out, when the kite is 250 m away from the key who is flying the kite ? The height of the boy is 1.5 m.

A water jet from the fountain reaches its maximum height of 4 metres at a distance of 0.5 metre from the vertical passing through the point A of the water outlet. Show that the height of the jet above the horizontal AX at a distance of 0.75 metre from the point A is 3 metres.

An engine pumps out water continously through a hose with a veclocity v.If m is the mass per unit length of the water jet ,the rater at which the kinetic energy is imparted to water is :

What are the two angles of projection of a projectile with velocity 30 m s^-1 , so that the horizontal range is 45 m.Take g=10 m s^-2 .

Find the work done in lifting a 50 kg bucket a water through a vertical height of 2 m.

From a point on the ground 40 m away from the foot of a tower, the angle of elevation of the top of the tower is 30^@ . The angle of elevation to the top of a water tank (On the top of the tower) is 45^@ . Find the height of the tower and the depth of the tank.

A circus tent is cylindrical upto a height of 3 m and conical above it. If the diameter of the base is 105 m and the slant height of the conical part is 53 m, find the total cost of the canvas used to make the tent when the cost per square metre of the canvas is ? 10.