calculus
posted by mandy .
A potter forms a piece of clay into a cylinder. As he rolls it, the length,L, of the cylinder increases and the radius, r, decreases. If the length of the cylinder is increasing at .1 cm per second, find the rate at which the radius is changing when the radius is 1 cm. and the length is 5 cm.

Volume is remaining the same. Think on that.
V=PI*r^2 * L
dv/dt= 2PI*L r dr/dt+ PI*r^2 dL/dt=0
solve for dr/dt 
.001
Respond to this Question
Similar Questions

calculus
This one is tough. "A ballon in the shape of a cylinder with hemispherical ends of the same radius as that of the cylinder is shown. The ballon is being inflated at the rate of 261pi cubic centimeters per minute. At the instant the … 
calculus
A potter forms a piece of clay into a right circular cylinder. As she rolls it, the height h of the cylinder increases and the radius r decreases. Assume that no clay is lost in the process. Suppose the height of the cylinder is increasing … 
physics
A solid steel cylinder is standing (on one of its ends) vertically on the floor. The length of the cylinder is 3.4 m and its radius is 58 cm. When an object is placed on top of the cylinder, the cylinder compresses by an amount of … 
Calculus
A potter forms a piece of clay into a right circular cylinder. As she rolls it, the height h of the cylinder increases and the radius r decreases. Assume that no clay is lost in the process. Suppose the height of the cylinder is increasing … 
physics
A copper (Young's modulus 1.1 x 1011 N/m2) cylinder and a brass (Young's modulus 9.0 x 1010 N/m2) cylinder are stacked end to end, as in the drawing. Each cylinder has a radius of 0.14 cm. A compressive force of F = 4800 N is applied … 
physics
A copper (Young's modulus 1.1 x 1011 N/m2) cylinder and a brass (Young's modulus 9.0 x 1010 N/m2) cylinder are stacked end to end, as in the drawing. Each cylinder has a radius of 0.38 cm. A compressive force of F = 6100 N is applied … 
math
Inside a long empty cylinder with radius R = 25 cm is put a long solid cylinder with radius r = 10 cm such that the bases of the two cylinders are attached. Then water is poured in the remaining empty region of the first cylinder until … 
Math
A metal solid cylinder of radius 6 cm and length 12 cm is ,melted and recast into another solid cylinder of length 3 cm. A. Find the base radius of the new cylinder. B. Find the change in total surface area in terms of 3.14. 
calc
When the height of a cylinder is 12 cm and the radius is 4 cm, the circumference of the cylinder is increasing at a rate of pie/4 cm/m in, and the height of the cylinder is increasing four times faster than the radius. How fast is … 
calculus
The mechanics at lincoln automotive are reboring a 6in. deep cylinder to fit a new piston. The machine they are using increases the cylinder's radius 0.02 inches each second. How rapidly is the cylinder volume increasing when the …