Home
Class 12
MATHS
A sphere of 10cm radius has a uniform th...

A sphere of 10cm radius has a uniform thickness of ice around it. Ice is melting at rate `50 cm^3//min` when thickness is 5cm then rate of change of thickness

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(18pi)cm//s`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise Exercise 5.6|5 Videos
  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise Exercise 5.7|8 Videos
  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise Exercise 5.4|6 Videos
  • 3D COORDINATION SYSTEM

    CENGAGE|Exercise DPP 3.1|11 Videos
  • APPLICATION OF INTEGRALS

    CENGAGE|Exercise Solved Examples And Exercises|137 Videos

Similar Questions

Explore conceptually related problems

A spherical iron ball 10 cm in radius is coated with a layer of ice of uniform thickness that melts at a rate of 50 cm^(3)//min. When the thickness of ice is 5 cm, then the rate at which the thickness of ice decreases, is:

A spherical iron ball 10cm in radius is coated with a layer of ice of uniform thickness that melts at a rate of 50cm^(3)/min .When the thickness of ice is 5cm ,then find the rate at which the thickness of ice decreases.

A spherical iron ball 10 cm in radius is coated with a layer of ice of unirform thichness that melts at a rate of 50cm^3 /min. when the thickness of ice is 5 cm, then the rate at which the thickness of ice decreases, is

A spherical ball of radius 10cm is enclosed by ice of iniform thickness in spherical shape.If ice melts at the rate of 50cm^(3)/min then the rate of decrease of thickness of ice when thickness of ice is 5cm is

A sphere of radius 3cm is drawn into a wire of thickness of 0.5cm. What is the length of the wire?

A spherical iron ball of radius 10cm, coated with a layer of ice of uniform thickness, melts at a rate of 100 pi cm^(3) // min.The rate at which the thickness decreases when the thickness of ice is 5 cm, is

A copper rod of diameter 2 cm and length 10 cm is drawn into a wire of uniform thickness and length 10 m. Find the thickness of the wire.

The radius of a circular blot of oil is increasing at the rate of 2 cm/min. Find the rate of change of its area when its radius is 3 cm.