Home
Class 12
MATHS
Gravel is being duped from a conveyor be...

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 ?

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER -13 (UNSOLVED)

    FULL MARKS|Exercise PART-IV IV. Answer all the questions.|9 Videos

  • SAMPLE PAPER -13 (UNSOLVED)

    FULL MARKS|Exercise PART-II- II. Answer any seven questions. Question No. 30 is compulsory.|9 Videos

  • SAMPLE PAPER -13

    FULL MARKS|Exercise PART-I (CHOOSE THE CORRECT ANSWER. ANSWER ALL THE QUESTION)|1 Videos

  • SAMPLE PAPER -15 ( UNSOLVED)

    FULL MARKS|Exercise PART -IV|7 Videos

Similar Questions

Explore conceptually related problems

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 ?

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 conical water tank with vertex down of 12 meters height has a radius of 5 meters at the top. If water flows into the tank at a rate 10 cubic m/min, how fast is the depth of the water increases when the water is 8 metres deep?

A ladder 5 m long is leaning against a wall. The bottom of the ladder is pulled along the ground, away from the wall, at the rate of 2cm/s. How fast is its height on the wall decreasing when the foot of the ladder is 4 m away from the wall ?

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 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)