Posted by **Jay** on Saturday, August 4, 2012 at 8:13pm.

Let V be the volume of a right circular cone having height h and radius r and assume that h and r vary with time.

a. Express the time rate of change of the cylinder in terms of h, r and their rates of change.

b. At a certain instant, the height is 10 in and decreasing at a rate of 1.5 in/sec, while the

radius is 3 in and increasing at a rate of 2 in/sec. How fast is the volume changing at

that instant and state whether the volume is decreasing or increasing.

## Answer this Question

## Related Questions

- Calculus - A right circular cone has a constant volume. The height h and the ...
- Pure Maths - A container is in the shape of a right circular cone (inverted) ...
- CALCULUS help please - The radius of a right circular cylinder is given by t + 9...
- calculus - the volume V of a right circular cone of height h=8 feet and radius r...
- Calculus - The volume, V cm3 , of a cone height h is pi x h^3 / 12 If h ...
- Calculus - Given a right circular cone, you put an upside-down cone inside it so...
- Calculus: Optimization - I have no idea how to approach this problem, if someone...
- math - Suppose we pump water into an inverted right-circular cone tank at the ...
- Calculus - Gravel is being dumped from a conveyor belt at a rate of 10 cubic ...
- calculus - Gravel is being dumped from a conveyor belt at a rate of 50 cubic ...