A balloon which always remains spheric...

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

`1/(9pi)` cm/sec

`1/pi` cm/sec

`1/(90pi)` cm/sec

`1/(30pi)` cm/sec

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

KARNATAKA CET 2014
KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos
KARNATAKA CET 2017
KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

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.

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

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

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

A spherical balloon is filled with 4500 pi cubic metres of helium gas. If a leak in the balloon causes the gas to escape at the rate of 72pi cubic metres per minute, then the rate (in metres per minute) at which the radius of the balloon decreases 49 minutes after the leakage begins is :

A spherical balloon is being inflated at the rate of 35 cc//min. The rate of increase of the surface area of the balloon when its diameter is 14 cm is...

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.

A circular disc of radius 3 cm is being heated. Due to expansion, its radius increased at the rate of 0.05 cm//s . Find the rate at which its area is increasing when radius is 3.2 cm.

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2015-MATHEMATICS

If f(x) = 2x^(2) "find" (f(3.8)-f(4))/(3.8-4)
Text Solution
|
If x = ct and y = c/t , find (dy)/(dx) at t = 2 .
Text Solution
|
A balloon which always remains spherical is being inflated by pump...
Text Solution
|
int (sin^(2)x)/(1+cos x) dx is equal to
Text Solution
|
inte^(x)((1+sinx)/(1+cosx))dx=
Text Solution
|
If 1,omega,omega^(2) are three cube roots of unity, then (1-omega+omeg...
Text Solution
|
If tan^(-1)((1-x)/(1+x))=1/2tan^(-1)x,xgt0 find x
Text Solution
|
The system of linear equations x+y+z = 6, x+2y+3z = 10 and x + 2y +az ...
Text Solution
|
The value of tan(1^(@)) +tan(89^(@)) is .
Text Solution
|
If ((x+1)^(2))/(x^(3)+x)=A/x +(Bx+C)/(x^(2)+1) then "cosec"^(-1) (1/A...
Text Solution
|
The remainder obtained when 1 ! +2 ! +3 ! +….+11! is divided by 12 is
Text Solution
|
If alpha lt 2 sin^(-1) x +cos^(-1)x le beta , then
Text Solution
|
If [(0,1),(1,0)] then A^(2) is equal to
Text Solution
|
The function f(x) = [x] where [x] is the greatest integer function is ...
Text Solution
|
If y = log((1-x^(2))/(1+x^(2))), then (dy)/(dx) is equal to
Text Solution
|
The two curves x^(3) - 3xy^(2) +2 = 0 and 3x^(2)y-y^(3) = 2
Text Solution
|
If x is real, the minimum value of x^(2)-8x+17 is :
Text Solution
|
int(-pi//4)^(pi//4)(dx)/(1+cos 2x) is equal to
Text Solution
|
The order of differential equation of all circles of given radius "...
Text Solution
|
Find the general solution of the differential equation x (dy)/(dx)+2y=...
Text Solution
|