The radius of a spherical balloon is de...

The radius of a spherical balloon is decreasing at the rate of 10 cm per second. At what rate is the surface area of the balloon decreasing when its radius is 15 cm?

Topper's Solved these Questions

APPLICATION OF DERIVATIVE
PATHFINDER|Exercise QUESTION BANK|327 Videos
CONTINUITY & DIFFERENTIABILITY
PATHFINDER|Exercise QUESTION BANK|13 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?

Air is expelled from a spherical balloon by decressing the radius at the rate of (1)/(8) cm/s. At what rate is the air escaping when the radius is 10 cm?

The surface area of a spherical bubble is increasing at the rate of 2 cm^(2)//s . Then the rate at which the volume of the bubble is increasing at the instant when its radius is 6 cm, is-

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.

A spherical balloon is being inflated at the rate of 35 cm^(3) /min. Then the rate of increase of the surface area (in cm^(2) /min) of the balloon when its diameter is 14 cm, is -

The radius of a circle is increasing at a rate of 2.5 cm/sec. Find the rate of increase of the area of the circle when its radius is 5cm.

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 two equal sides of an isosceles triangle with fixed base b are decreasing at the rate of 3 cm per second. How fast is the area decreasing when the two equal sides are equal to the base ?

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 a rate of 9 cubic centimetres per second. How fast is the surface area increasing when the length of an edge is 10 centimetres ?

PATHFINDER-APPLICATION OF DERIVATIVES-QUESTION BANK

The distance S metres moved by a particle traveling in a straight line...
Text Solution
|
If R(x) rupees is the total revenge received from the sale of x tables...
Text Solution
|
The radius of a spherical balloon is decreasing at the rate of 10 cm ...
Text Solution
|
At what point of the ellipes 16x^2+9y^2=400, does the ordinate decrea...
Text Solution
|
A particle moves along the curve 6y = x^(3) +2. Find the points on the...
Text Solution
|
A ladder 16 cm long is leaning against a wall. The bottom of the ladde...
Text Solution
|
Water is leaking from a conical funnel at the rate of 5 cm^3/sec. If t...
Text Solution
|
Show that f(x)=(1/2)^x is strictly decreasing on R.
Text Solution
|
Show that : tanx -x is strictly increasing on (0,pi/2).
Text Solution
|
Show that the following function is strictly increasing :f(x)=x^2,x>0.
Text Solution
|
Find the intervals on which the following function is strictly increas...
Text Solution
|
Find the intervals on which the following function is strictly increa...
Text Solution
|
Find the intervals on which the following function is strictly increa...
Text Solution
|
FInd the slopes of the tangents and normals to the following curve: x=...
Text Solution
|
Show that the tangents to the curve y=x^2-5x+6 at the point (2,0) and ...
Text Solution
|
Find the equations of the tangent and normal to the curve y=x^2-4x-5 a...
Text Solution
|
Find the equation of the tangent to the ellipse x^2/a^2+y^2/b^2=1 at (...
Text Solution
|
For the curve y = 4x^(3) – 2x^(5) , find all the points at which the t...
Text Solution
|
FInd the equation of the normal to the curve 3x^2-y^2=8 which is para...
Text Solution
|
Show that the curve xy=a^2 and x^2+y^2=2a^2 touch each other.
Text Solution
|