A balloon which always remains spherical...

A balloon which always remains spherical is being inflated by .pumping in 900 cubic centimeters of gas per second. Find the rate at which the radius of the balloon increases when the radius is 15 cm.

Text Solution

Verified by Experts

The correct Answer is:

`1/pi cm//sec`

Topper's Solved these Questions

APPLICATION OF DERIVATIVES
OMEGA PUBLICATION|Exercise Important Questions from (Miscellaneous Exercise )|48 Videos
APPLICATION OF DERIVATIVES
OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs)|34 Videos
APPLICATION OF INTEGRALS
OMEGA PUBLICATION|Exercise Multiple Choice Questions|16 Videos

Similar Questions

Explore conceptually related problems

A balloon, which always remains spherical on inflation, is being inflated by pumping in 900 cm^3 0f gas per sec. Find the rate at which the radius of the balloon increases when the radius is 15 cm.

In a competition, a brave child tries to inflate a huge spherical balloon bearing slogans against child labour at the rate of 900 cubic centimeter of gas per second. Find the rate at which the radius of the balloon is increasing when its radius is 15 cm. Also write any three value/life skill reflected in this question.

The radius of a circle is increasing uniformly at the rate of 4 cm per second. Find the rate at which the area of the circle is increasing when the radius is 8 cm.

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

The radius of spherical balloon is increasing at the rate 5 cm per second. At what rate is the surface of the balloon increasing, when the radius is 10 cm?

OMEGA PUBLICATION-APPLICATION OF DERIVATIVES -Multiple Choice Questions (MCQs)

A balloon which always remains spherical is being inflated by .pumping...
Text Solution
|
Find the rate of change of the area of a circle with respect to its ra...
Text Solution
|
Find the rate of change of the area of a circle per second with respec...
Text Solution
|
Find the rate of change of the area of the circle with respect to its ...
Text Solution
|
The total revenue in Rupees received from its sale of x units of a pro...
Text Solution
|
An edge of a variable cube is increasing at the rate of 3 cm second. H...
Text Solution
|
A cylindrical tank of radius 10 m is being filled with wheat at the ra...
Text Solution
|
Find the slope of the tangent to the curve y = 3x^4 - 4x at x = 4 .
Text Solution
|
The slope of the normal to the curve y = 2x^2+3 sinx at x=0 is:
Text Solution
|
The line y = x+1, is a tangent to the curve y^2 = 4x at the point.
Text Solution
|
The slope of the tangent to the curve x = t^2+3t-8, y = 2t^2-2t-5at th...
Text Solution
|
The line y = mx +1, is a tangent to the curve y^2 = 4x if the value of...
Text Solution
|
The normal at the point (1,1) on the curve 2y + x^2 = 3 is:
Text Solution
|
If f(x) = 3x^2+15x+5, then the approximate value of f (3.02) is :
Text Solution
|
The approximate change in the volume of a cube of side x metres caused...
Text Solution
|
The point on the curve x^2 = 2y which is nearest to the point (0,5) is...
Text Solution
|
For all real values of x, the minimum value of (1-x+x^2)/(1+x+x^2 is:
Text Solution
|
The maximum value of [x(x-1)+1]^(1/3), 0lexle1 is:
Text Solution
|
Find the rate of change of the area of a circle with respect to its ra...
Text Solution
|
Find the rate of change of the area of a circle with respect to its ra...
Text Solution
|
Find the rate of change of the area of the circle with respect to its ...
Text Solution
|