Related+Rates+Quiz+for+Will

Will's Related Rates Quiz

3) Let V be the volume of a sphere with radius r at time t. If the **radius** changes at a rate of 3 ft/min, at what rate is the sphere's **volume** changing when r = 2?

Need a formula? Click @Formulas for Related Rates Calc Quiz.


 * 2) || [[image:http://cow.temple.edu/~cow/images/auxiliary/StreetlightImages/Man%20and%20streetlight.lightchild.gif]] || A 3 ft tall child is leaping away from a 25 ft high streetlight at the rate of 2.4 ft per second. How fast is the child's shadow growing as she leaps? ||

1) A 20 ft long ladder is leaning against a wall, but is sliding down. At the moment when the base of the ladder is 12 ft from the wall and is sliding away at 5 fps, how high is the top of the ladder and how fast is it sliding down?