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 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 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 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.

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?

The radius and the height of a right circular cone are in the ratio 5 : 12. If its volume is 314 cm^3 , find the slant height and the radius of the cone. [Use pi = 3.14]

A cone of radius 4 cm is filled with water. If the water is poured in a cylinder of radius 8 cm, the height of the water rises 2 cm, find the heiht of the cone.

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