Home
Class 12
MATHS
Water is poured into an inverted conical...

Water is poured into an inverted conical vessel of which the radius of the base is 2m and height 4m, at the rate of 77 lit/min. The rate at which the water level is rising at the instant when the depth is 70 cm is

A

`10 cm//min`

B

`20 cm//min`

C

`40 cm//min`

D

`30 cm//min`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise Part II -1D|7 Videos
  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise Part II -1E|6 Videos
  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise Part II -1B|6 Videos
  • COMBINATORICS

    RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 Videos

Similar Questions

Explore conceptually related problems

Water is poured into an inverted conical vessel of which the radius of the base is 6ft and height 12ft. at the rate of V cubic inches per minutes.At what rate of V cubic inches per at the instant when the depth of water is h inches?

Water is running into an inverted cone at the rate of 270dm^(3)//min . The radius of the cone is equal to the depth of water in it .When the water is 18 dm deep, water level is rising at the rate of

Whater is poured into an inverted cone of semi-vertical angle 45^(@) at rate of 2 cu. in . /min .The rate at which the depth of water in the cone is increasing when the depth is 4 in. is

An inverted conical vessel whose height is 10 cm and the radius of whose base is 5 cm is being filled with water at the uniform rate of 1.5cm^(3)//min . Find the rate at which the level of water in the vessel is rising when the depth is 4 cm.

An inverted cone has a depth of 10cm and a base of radius 5cm. Water is poured into it at the rate of 3/2 c.c.per minute.Find the rate at which the level of water in the cone is rising when the depth is 4cm.

A cone has a depth of 15cm and a base of 6cm radius.Water is poured into it at the rate of (16)/(5)pi cc/min. Find the rate at which the level of water in the cone is rising when the depth is 4cm.

A water is poured into an inverted cone at the rate of 270 cc/sec. The radius of the cone is equal to the depth of water in it. If the depth of water in the cone is 18 cm, then the rate at which the water level is rising, is

Coffee is draining from a conical filter,height and diameter both 15cms into a cylindrical coffee pot diameter 15cm. The rate at which coffee drains from the filter into the pot is 100 cu cm/min.The rate in cms/min at which the level in the pot is rising at the instant when the coffee in the pot is 10cm, is

Water is leaking from a conical funnel at the rate of 5c(m^(3))/(sec). If the radius of the base of the funnel is 5cm and its altitude is 10cm, find the rate at which the water level is dropping when it is 2.5cm from the top.

Water is being poured on to a cylindrical vessel at the rate of 1(m^(3))/(min) .If the vessel has a circular base of radius 3m ,find the rate at which the level of water is rising in the vessel.