A lump of clay is being rolled into a cylinder. As it is being rolled, the radius $"r"$ is decreasing, which

causes the length $"l"$ to increase. If the radius of the cylinder is decreasing at a rate of $0\mathrm{.}5cm$ per

second, find the rate at which the length is changing when the radius is $8cm.$ and the length is $11$

$cm.$ Round your answer to $4$ decimal places and label the units. Hint: the amount of clay is NOT

changing as you mold it$.$