Q. 64.3( 3 Votes )

# The radius of an air bubble is increasing at the rate of 0.5 centimetre per second. At what rate is the volume of the bubble increasing when the radius is 1 centimetre?

Answer :

Soap bubble will be in the shape of a sphere

Let the radius of the soap bubble be r

Volume of the soap bubble=

Rate of change of Volume

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

PREVIOUSThe radius of a circular soap bubble is increasing at the rate of 0.2 cm/s. Find the rate of increase of its surface area when the radius is 7 cm.NEXTThe volume of a spherical balloon is increasing at the rate of 25 cubic centimetres per second. Find the rate of change of its surface at the instant when its radius is 5 cm.

Related Videos

How to find Maxima & Minima?43 mins

Practise Questions - Application of Derivatives45 mins

Interactive quizz on tangent and normal, maxima and minima43 mins

Interactive quiz on maxima and minima48 mins

Tangent & Normal To A Curve53 mins

Test your knowledge of Tangents & Normals (Quiz)52 mins

Tangents & Normals (Concept Builder Class)55 mins

Few Applications of Gauss's law54 mins

Application of Biotechnology | Concepts - 0256 mins

Learn applications of Biotechnology with Questions44 mins

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

RELATED QUESTIONS :

The side of an equilateral triangle is increasing at the rate of 2 cm/s. At what rate if its area increasing when the side of the triangle is 20 cm?

Mathematics - Board PapersFor the curve, if x increases at the rate of 2 units/sec, then find the rate of change of the slope of the curve when

Mathematics - Board PapersThe length x, of a rectangle, is decreasing at the rate of 5 cm/minute and the width y, is increasing at the rate of 4 cm/minute. When x = 8 cm and y = 6 cm, find the rate of change of the area of the rectangle.

Mathematics - Board Papers