The volume of metal in a hollow sphere i...

The volume of metal in a hollow sphere is constant. If the inner radius is increasing at the rate of 1 cm/sec, find the rate of increase of the outer radius when the radii are 4 cm and 8 cm respectively.

Text Solution

AI Generated Solution

Topper's Solved these Questions

DEFINITE INTEGRALS
RD SHARMA ENGLISH|Exercise All Questions|562 Videos
DETERMINANTS
RD SHARMA ENGLISH|Exercise All Questions|441 Videos

Similar Questions

Explore conceptually related problems

The side of a square is increasing at the rate of 0.1cm/sec. Find the rate of increase of its perimeter.

The radius of a circle is increasing at the rate of 0.5cm/sec. Find the rate of increase of its circumference.

The side of a square in increasing at the rate of 0.2 cm/sec. Find the rate of increase of the perimeter of the square.

The side of a square is increasing at a rate of 4cm/sec. Find the rate of increase of its area when the side of square is 10 cm.

The radius of a spherical soap bubble is increasing at the rate of 0.2 cm/sec. Find the rate of increase of its surface area, when the radius is 7 cm.

The side of an equilateral triangle is increasing at the rate of 10cm/sec . Find the rate of increase of its perimeter.

The side of a cube is increasing at a rate of 4 cm/sec. Find the rate of change of the volume of the cube when its side is 5 cm.

The radius of a circle is increasing at the rate of 0.7 cm/sec. What is the rate of increase of its circumference?

The side of a square is increasing at a rate of 3 cm/sec. Find the rate of increasing of its perimeter when the side of square is 5cm.

RD SHARMA ENGLISH-DERIVATIVES AS A RATE MEASURER -All Questions

The surface area of a spherical bubble is increasing at the rate of...
Text Solution
|
The radius of a cylinder is increasing at the rate 2cm/sec. and its...
Text Solution
|
The volume of metal in a hollow sphere is constant. If the inner ra...
Text Solution
|
Sand is being poured onto a conical pile at the constant rate of 50 ...
Text Solution
|
A kite is 120m high and 130 m of string is out. If the kite is movin...
Text Solution
|
A particle moves along the curve y= (2/3)x^3+1 . Find the points on t...
Text Solution
|
Find the point on the curve y^2= 8xdot for which the abscissa and ordi...
Text Solution
|
The volume of a cube is increasing at the rate of 9 cm^3/sec. How fa...
Text Solution
|
The volume of a spherical balloon is increasing at the rate of 20 cm...
Text Solution
|
The length of a rectangle is decreasing at the rate of 5 cm/minute ...
Text Solution
|
A circular disc of radius 3 cm is being heated. Due to expansion, i...
Text Solution
|
A particle moves in a straight line and its speed depends on time as v...
Text Solution
|
The volume of a sphere is increasing at the rate of 3 cubic centimeter...
Text Solution
|
The sides of an equilateral triangle are increasing at the rate of 2...
Text Solution
|
The side of a square is increasing at the rate of 0.1cm/sec. Find t...
Text Solution
|
The radius of a circle is increasing at the rate of 0.5cm/sec. Find...
Text Solution
|
The side of an equilateral triangle is increasing at the rate of 10cm/...
Text Solution
|
Find the surface area of a sphere when its volume is changing at th...
Text Solution
|
The rate of change of volume of a sphere is equal to the rate of cha...
Text Solution
|
The amount of pollution content added in air in a city due to x-dies...
Text Solution
|