The radius r of a sphere is increasing at a constant rate of 0.04 centimeters per second. (Note: The volume of a sphere with radius r is V=4/3 pi r³.) At the time when the radius of the sphere is 10 centimeters, what is the rate of increase of its volume?

The rate of the volume increase will be

Step-by-step explanation:

Let's take the derivative with respect to time on each side of the volume equation.

Now, we just need to put all the values on the rate equation.

We know that:

dR/dt is 0.04 cm/s  

And we need to know what is dV/dt when R = 10 cm.

Therefore using the equation of the volume rate:

I hope it helps you!

pi x^2

step-by-step explanation:

pi times x squared

answer: 2 answers

step-by-step explanation: the first one means to spread the product throughout the marketplace such that a large number of people can buy it.  

the second means the process of making a product or service available for the consumer or business user that needs it.

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