Home
Class 12
MATHS
A balloon, which always spherical, has a...

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

Text Solution

Verified by Experts

The correct Answer is:
`(27 pi)/8(2x + 1)^(2)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    SUBHASH PUBLICATION|Exercise THREE MARKS QUESTIONS WITH ANSWERS (A) DECREASING AND INCREASING FUNCTIONS|23 Videos
  • APPLICATION OF DERIVATIVES

    SUBHASH PUBLICATION|Exercise THREE MARKS QUESTIONS WITH ANSWERS (B) TANGENTS AND NORMALS|26 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 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.

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 remains spherical has a vertical radius. Find the rate at which its volume is increasing with the radius when the radius is 10 cm.

Find the antiderivative of x^2(1-1/(x^2)) with respect to x.

Find the antiderivative of (1-(1)/(x^(2))) with respect to x.

Find the derivative of (3x^(2) - 7x + 3)^(5//2) with respect to x.

Find the rate of change of the area of a circle with respect to its radius r when r = 5cm.

A balloon which always remains spherical is being inflated by pumping in 10 cubic centimeters of gas per second. Find the rate at which the radius of the balloon is increasing when the radius is 15cm.

The total revenue in Rupees received from the sale of x units of a product is given by R(x) = 3x^(2) + 36x + 5. Find the marginal revenue, when x = 5, where by marginal revenue we mean the rate of change of total revenue with respect to the number of items sold at an instant.