Gravel is being clumped form a conveyor belt at a rate of `60 ft^(3)//"min"` and is coasrsened such that it forms a pie in the shape of a cone where base diameter and height and always equal. How fast is the height of the pile increasing when the pile is 15 ft high ?

Gravel is being duped from a conveyor belt at a rate of 30 ft^(3)//min and its coarsened such that it from a sile in the shape of a cone whose base diameter and height are always equal . How fast is the height of the pile increasing when the pile is 10 ft high ?

Salt is poured from a conveyer belt at a rate of 30 cubic metre per minute forming a conical pile with a circular base whose beight and diameter of base are alwayes equal . How fast is the height of the pile increasing when the pile is 10 metre high ?

Sand is pouring from a pipe at the rate of 12 cm^(3) /s. The falling sand forms a cone on the ground in such a way that the height of the cone is always one-sixth of the radius of the base. How fast is the height of the sand cone increasing when the height is 4 cm?

Sand is pouring from a pipe at the rate of 12c m^3//sdot The falling sand forms a cone on the ground in such a way that the height of the cone is always 1/6th of the radius of the base. How fast does the height of the sand cone increase when the height in 4 cm?

A water tank has the shape of an invertd circular cone with base radius 2 metres and height 4 metres. If water is being pumped into the tank at the rate of 2m^(3)//mm . Find the rate at which the water level is rising when the water is 3m deep

A cylindrical container is filled with ice-cream whose diameter is 12 cm and height is 15 cm . The whole ice cream is distributed to 10 children by filling in equal cones and forming hemispherical tops. If the height of the conical portion is twice the diameter of its base. Find the diameter of the ice cream cone.

A tent is in the form of a cylinder surmounted by a cone having its diameter of the base equal to 24 m. The height of cylinder is 11 m and the vertex of the cone is 5m above the cylinder. Find the cost of making the tent, if the rate of canvas is 10 per m^(2)