Home
Class 12
MATHS
Water is running into a conical vessel, ...

Water is running into a conical vessel, 15 cm deep and 5 cm in radius, at the rate of 0.1 `cm^2`/sec . When the water is 6 cm deep, find at what rate is the water level rising?

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(40pi)`cm/s
(b) `(1)/(30)cm^(2)//s`
(c) `(sqrt(10))/(30)cm^(2)//s`
Promotional Banner

Topper's Solved these Questions

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise For Session 2|6 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise For Session 3|10 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise SINGLE OPTION CORRECT TYPE QUESTIONS|10 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

Similar Questions

Explore conceptually related problems

Water is leaking form a conical funnel at the rate of 5cm^3//s , If the radius of the base of funnel is 5 cm and height 10 cm, find the rate at which the water level is dropping when it is 2.5 cm from the top. Is leaking of water leads to wastage of water? Should we do everything to ssave this natural resource?

If side of a square is increasing at the rate of 1.5 cm/sec, then the rate of change of its perimeter is :

If side of a square is increasing at the rate of 1.5 cm/sec, then the rate of change of its perimeter is :

Water runs into an inverted conical tent at the rate of 20 ft^3 / min and leaks out at the rate of 5 ft^3 /min .The height of the water is three times the radius of the water's surface. The radius of the water surface is increasing when the radius is 5 ft, is