A balloon, which always remains spherica...

A balloon, which always remains spherical, has a variable diameter `3/2(2x+1)`. Find the rate of change of its volume with respect to x.

Topper's Solved these Questions

APPLICATIONS OF DERIVATIVES
PRADEEP PUBLICATION|Exercise EXERCISE|502 Videos
APPLICATIONS OF INTEGRALS
PRADEEP PUBLICATION|Exercise EXERCISE|162 Videos

Similar Questions

Explore conceptually related problems

A ballon, which always remains spherical has a variable diameter 3/2 (2x+3) . Determine the rate of change of volume w.r.t.x.

A balloon, which always remains spherical has a variable radius. Find the rate at which its volume is increasing with the radius when the later is 10 cm.

A balloon which always remain spherical has a variable radius. Find the rate at which its volume is increasing with the radius when the later is 10 cm.

PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE

A balloon, which always remains spherical, has a variable diameter 3/2...
Text Solution
|
The length x of a rectangle is decreasign at the rate of 5 cm/min and ...
Text Solution
|
The total cost C (x) and the total revenue R (X) associated with the p...
Text Solution
|
The total revenue in Rupees received from the sale of x units of a pro...
Text Solution
|
A stone is dropped into a quiet lake and waves move in circles at a sp...
Text Solution
|
Find the rate of change of the volume V of a sphere of radius r w.r.t ...
Text Solution
|
The radius of a balloon is increasing at the rate of 10 cm/sec. At wha...
Text Solution
|
The radius of a spherical soap bubble is increasing at the rate of 0.2...
Text Solution
|
A ballon, which always remains spherical has a variable diameter 3/2 (...
Text Solution
|
The volume of a spherical balloon is increasing at the rate of 20 cm^3...
Text Solution
|
An edge of a variable cube is increasing at the rate of 3 cm second. H...
Text Solution
|
A cone has a fixed radius r and a variable height h. Find the rate of ...
Text Solution
|
A right-circular cone has a fixed radius r and a variable height h. Fi...
Text Solution
|
A solid right circular cylinder has its radius equal to half of its he...
Text Solution
|
From a cylindrical drum containing oil and kept vertical, the oil leak...
Text Solution
|
Two men A and B start with velocities v at the same time from the junc...
Text Solution
|
A kite is moving horizontally at a height of 141.5 m. If the speed of ...
Text Solution
|
For what x, sinx increases half as fast as x?
Text Solution
|
A particle moves along the curve 6y = x^3+2. Find the points on the cu...
Text Solution
|
A man 160 cm tall, walks away from a source of light situated at the t...
Text Solution
|
A man, 2 m tall, walks at the rate of 1 (2)/(3) m/sec towards a street...
Text Solution
|