Home
Class 12
MATHS
The radius of an air bubble is increasin...

The radius of an air bubble is increasing at the rate of `1/2cm//s`. At what rate is the volume of the bubble increasing when the radius is 1 cm?

Text Solution

Verified by Experts

The correct Answer is:
`2 pi cm^(3)//s`
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

The radius of an air bubble is increasing at the rate of (1)/(2) cm/s. At what rate is the volume of the bubble increasing when the radius is 1 cm?

An edge of a variable cube is increasing at the rate of 3 cm/s. How fast is the volume of the increasing when the edge is 10 cm long?

The radius of a circle is increasing uniformly at the ratio 3 cm/s. Find the rate at which the area of the circle is increasing when the radius is 10 cm.

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

The volume of a cube is increasing at the rate of 8 cm^(3)//s . How fast is the surface area increasing when the length of an edge is 12 cm?

The volume of a cube is increasing at the rate of 8 cm^(3) /s. How fast is the surface area increasing when the length of an edge is 12 cm?

The volume of a cube is increasing at the rate of 9 cubic cm/sec. How fast is the surface area increasing when the length of an edge is 10 cm?