Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

Question #20dff

1 Answer

A. S. Adikesavan

Mar 10, 2016

2 sq. meter/minute.

Explanation:

#V=a^3. d/dt(V)=3a^2d/dt(a). d/dt(a)=(5/3)a^2.#.

#S=6a^2. d/dt(S)=12ad/dt(a)=20/a#

Related questions

If a cylindrical tank with radius 5 meters is being filled with water at a rate of 3 cubic...
If the radius of a sphere is increasing at a rate of 4 cm per second, how fast is the volume...
If #y=x^3+2x# and #dx/dt=5#, how do you find #dy/dt# when #x=2# ?
If #x^2+y^2=25# and #dy/dt=6#, how do you find #dx/dt# when #y=4# ?
How do you find the rate at which water is pumped into an inverted conical tank that has a...
How much salt is in the tank after t minutes, if a tank contains 1000 liters of brine with 15kg...
At what approximate rate (in cubic meters per minute) is the volume of a sphere changing at the...
At what approximate rate (in cubic meters per minute) is the volume of a sphere changing at the...
What is the rate of change of the width (in ft/sec) when the height is 10 feet, if the height is...
What is the total amount of water supplied per hour inside of a circle of radius 8 if a...

See all questions in Using Implicit Differentiation to Solve Related Rates Problems

Impact of this question

1450 views around the world

You can reuse this answer
Creative Commons License