Water is dripping out form a conical funnel at the uniform rate of `2cm^3//s` through a tiny hole at the vertex at the bottom. When the slant height of the water is 5 cm, find the rate of decrease of the slant height of the water.

Water is dripping out from a conical funnel at a uniform rate of 4c m^3//sec through a tiny hole at the vertex in the bottom. When the slant height of the water is 3cm , find the rate of decrease of the slant height of the water-cone. Given that the vertical angle of the funnel is 120^0dot

Water is leaking from a conical funnel at a uniform rate of 4 cm^3//sec thorugh at small hole at the vertex. When the slant height of the water in the funnel is 3 cm, find the rate of decrease of the slant height of water given that semi vertical angle of the cone (funnel) is 30^@ .

Water is leaking from a conical funnel of semi-vertical angle pi/4 at a uniform rate of 2 cm^2//sec in the surface area curved), through a tiny hole at the vertex of the bottom. When the slant height of the cose is 4 cm, find the rate of decrease of the slant height of water.

The area of the curved surface of a cone is 60 picm^2 . If the slant height of the cone be 8 cm, find the radius of the base.

Water is leaking form a conical funnel at the rate of 5cm^3//s , If the radius of the base of funnel is 5 cm and height 10 cm, find the rate at which the water level is dropping when it is 2.5 cm from the top. Is leaking of water leads to wastage of water? Should we do everything to ssave this natural resource?

Water runs into an inverted conical tent at the rate of 20 ft^3 / min and leaks out at the rate of 5 ft^3 /min .The height of the water is three times the radius of the water's surface. The radius of the water surface is increasing when the radius is 5 ft, is

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.

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.

The radius of a cone is 7 cm and area of curved surface is 176cm^2 . Find the slant height.

The length x of a rectangle is decreasing at the rate of 2 cm/s and the width y is increasing at the rate of 2 cm/s. When x = 12 cm and y = 5 cm find the rate of change of (a) the perimeter