Posted by **Rahul** on Saturday, December 11, 2010 at 1:09pm.

The volume V or a cone (V = 1/3 π r² h) is increasing at a rate of 28π cubic units per second. At the instant when the radius r of the cone is 3 units, its volume is 12π cubic units and the radius is increasing at 0.5 unit per second.

a) At the instant when the radius of the cone is 3 units, what is the rate of change of the area of its base? (I got 3π)

b) At the instant when the radius of the cone is 3 units, what is the rate of change of its height h?

c)At the instant when the radius of the cone is 3 units, what is the instantaneous rate of change of the area of its base with respect to its height h?

For A I got 3pi

For B I got 8

What do i do for C? and what answer should I get?

## Answer This Question

## Related Questions

- math - Resolved QuestionShow me another » AP Calculus related rates problem? The...
- calculus help please - At the instant when the radius of a cone is 3 inches, the...
- calculus - At the instant when the radius of a cone is 3 inches, the volume of ...
- AP calculus AB - At the instant when the radius of a cone is 3 inches, the ...
- Math - What is the surface area and volume of a composite figure made up of a ...
- math plz help ;-; - Assuming that the cone is completely filled with ice cream, ...
- Calculus - Rates of Change - A water tank has a shape of an inverted cone with a...
- Calculus - Gravel is being dumped from a conveyor belt at a rate of 50 cubic ...
- Calculus - an open topped cylinder has a volume of 125 cubic inches. determine ...
- Calculus - The volume of a cone of a radius r and height h is given by V=(3.14/3...

More Related Questions