Home
Class 12
MATHS
A container in the shape of an inverted ...

A container in the shape of an inverted cone has height 12 cm and radius 6cm at the top. If it is filled with water at the rate of `12cm^(3)//sec`, what is the rate of change in the rate of change in the height of water level when the tank is filled 8 cm?

Text Solution

Verified by Experts

The correct Answer is:
`3//4pi` cm/sec
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    SRISIRI PUBLICATION|Exercise 10.4 MEAN VALUE THEOREMS - VSAQ|8 Videos

  • APPLICATIONS OF DERIVATIVES

    SRISIRI PUBLICATION|Exercise 10.5 MAXIMA AND MINIMA - LAQ|8 Videos

  • APPLICATIONS OF DERIVATIVES

    SRISIRI PUBLICATION|Exercise 10.2 TANGENT AND NORMAL - LAQ|8 Videos

  • ADDITION OF VECTORS

    SRISIRI PUBLICATION|Exercise SPQ|7 Videos

  • BOARD MODEL PAPER-1

    SRISIRI PUBLICATION|Exercise QUESTIONS|24 Videos

Similar Questions

Explore conceptually related problems

A container is in the shape of an inverted cone has height 8m and radius 6m at the top. If it is filled with water at the rate of 2m^(3) /minute, how fast is the height of water changing when the level is 4m?

A container is the shape of an inverted cone. Its height is 6m and radius is 4 m at the top. If it is filled with water at the rate 3m^(3)//min then the rate of change of height of water (in mt//min) when the water level is 3 m is

If the rate of change in the radius of a circle is 0.02 cm/sec, then the rate of change in the area of the circle when the radius is 5 cm is

If the rate of change in the area of a circle is pi sq.cm/sec, then the rate of change in the radius of the circle when the radius is 10 cm is

If the rate of change of the side of a square is 0.05 cm/sec, then the rate of change in the area of the square when the side is 10cm is