Home
Class 12
MATHS
A stone is dropped into a quiet lake and...

A stone is dropped into a quiet lake and waves in circles at a speed of 4 cm per second. At the instant, when the radius of the circular wave is 10 cm, how fast is the enclosed area increasing?

Text Solution

Verified by Experts

The correct Answer is:
`80 pi sq cm//s`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    SUBHASH PUBLICATION|Exercise EXERCISE|22 Videos

  • ANNUAL EXAMINATION QUESTION PAPER MARCH 2017

    SUBHASH PUBLICATION|Exercise PART-D|9 Videos

  • APPLICATIONS OF INTEGRALS

    SUBHASH PUBLICATION|Exercise TRY YOURSELF|5 Videos

Similar Questions

Explore conceptually related problems

A stone is dropped into a quiet lake and waves in circles at the speed of 5 cm/s. At the instant when the radius of the circular wave is 8 cm, how fast is the enclosed area increasing?

A stone is dropped into a quiet lake and waves move in circles at the speed of 5 cm/s. At the instant when the radius of the circular wave is 8 cm, how fast is the enclosed area increasing?

A stone is dropped into a quiet lake and waves move in circles at the speed of 5 cm/sec. At that instant, when the radius of circular wave is 8 cm, how fast is the enclosed area is increasing

Find the area of the circle of radius 4.2cm.

If the radius of a circle increases from 5 cm to 5.1 cm, find the increase in area.

An edge of a variable cube is increasing at the rate of 10 cm per second. Then the volume of the cube is increasing when the edge is 5 cm long, at the rate

The sides of an equilateral triangle are increasing at the rate of 2 cm/sec. The rate at which the area increases, when side is 10cm is

The sides of an equilateral triangle are increasing at the rate of 2 cm/sec.The rate at which the area is increases when the side is 10cm is

The circumference of a circle is 31.4cm. Find the radius and the area of the circle. (Take pi=3.14 )

The volume of a cube is increasing at a rate of 9 cubic centimetres per second. How fast is the surface area increasing when the length of an edge is 10 centimetres per second. How fast is the surface area increasing when the length of an edge is 10 centimetres?