The water is leaking from a conical funn...

The water is leaking from a conical funnel at a rate of `5cm^(3)//min`. If the redius and height of the funnel are 5cm.and 10 cm respectively, find the rate of change of the surface of water in the funnel when height of water surface from the vertex is `7.5 cm`.

Text Solution

Verified by Experts

The correct Answer is:

`(-4)/(675 pi) cm//sec`

Topper's Solved these Questions

APPLICATIONS OF DERIVATIVES
NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 6b|17 Videos
APPLICATIONS OF DERIVATIVES
NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 6c|19 Videos
APPLICATIONS OF DERIVATIVES
NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|24 Videos
APPLICATIONS OF INTEGRALS
NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

The oil is leaking from a drum at a rate of 16 cm^(3)//sec . If the radius and height of drum are 7 cm and 60 cm respectively, find the rate of change of the height of oil when height of oil in drum is 18 cm.

If the heights of 5 persons are 140cm, 150cm, 152cm, 158cm and 161cm respectively, find the mean height.

If the heights of 5 persons are 140 cm, 150 cm, 152 cm, 158 cm and 161 cm respectively, find the mean height.

If the heights of 5 persons are 144cm, 152cm, 151cm, 158cm and 155cm respectively. Find the mean height.

Water is dripping out from a conical funnel at a uniform rate of 4c m^3//c m 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

If the heights of 5 persons are 144 cm, 152cm, 151cm, 158 cm and 155 cm respectively. Find the mean height.

If the heights of 5 persons are 140 cm, 150cm,158cm, 152 cm and 161 cm respectively. Find the mean height.

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.

If the heights of 5 persons are 144 cm, 152 cm, 151 cm, 158 cm and 155 cm respectively. Find the mean height.

NAGEEN PRAKASHAN ENGLISH-APPLICATIONS OF DERIVATIVES-Exercise 6a

Find the rate of change of area of the circle with respect to its radi...
Text Solution
|
(i) The radius of a circle is increasing at the rate of 5 cm/sec. Fin...
Text Solution
|
The side of a square is increasing at a rate of 3 cm/sec. Find the rat...
Text Solution
|
The side of a square is increasing at a rate of 4cm/sec. Find the rate...
Text Solution
|
The rate of increase of the radius of an air bubble is 0.5 cm/sec. Fin...
Text Solution
|
A balloon which always remains spherical, is being inflated by pump...
Text Solution
|
The volume of cube is increasing at a rate of 9 cm^(3)//sec. Find the ...
Text Solution
|
The volume of a spherical balloon is increasing at a rate of 25 cm^(3...
Text Solution
|
The surface of a spharical balloon is increasing at a rate of 2cm^2/se...
Text Solution
|
The length of a rectangle is decreasing at a rate of 3 cm/sec and brea...
Text Solution
|
Find the point on the curve y^2= 8xdot for which the abscissa and ordi...
Text Solution
|
A particle moves along the curve 6y = x^3 + 2. Find the points on the...
Text Solution
|
The base of a cubical tank is 25 m xx 40 m. The volume of water in the...
Text Solution
|
The oil is leaking from a drum at a rate of 16 cm^(3)//sec. If the rad...
Text Solution
|
The water is leaking from a conical funnel at a rate of 5cm^(3)//min. ...
Text Solution
|
A man 160 cm tall, walks away from a source of light situated at th...
Text Solution
|
The total cost C(x) in Rupees, associated with the production of x u...
Text Solution
|
The total revenue of selling of x units of a product is represented by...
Text Solution
|
A ladder is inclined to a wall making an angle of 30° with it. A man i...
Text Solution
|
The one end of a 20 m long ladder is on the floor and the other end i...
Text Solution
|