Name__________________ Related rates 1. A clown is inflating a spherical balloon at a rate of cubic inches per second. How fast is the radius of the balloon increasing when the radius is 3 !
inches? Volume of a Sphere =! 𝜋𝑟 ! 2. Trains A and B leave the station at the same time. Train A heads due south at a rate of 80 km/hr and Train B heads due west at a rate of 60 km/hr. How fast is the distance between the trains increasing after 3 hours? Hint: what would A and B be after 3 hours? 3. At the Minute Maid factory a cylindrical tank is being filled with orange juice at a rate of meters cubed per second. The tank has a radius of 6 meters. How fast is the height increasing? Volume of a cylinder= 𝜋𝑟 ! ℎ 4. A car is being pulled toward a tow truck by a chain attached to its front end through a pulley on the tow truck 7 ft. above the front end of the car. If the chain is hauled in at a rate of 4 ft/sec, how fast is the car approaching the tow truck when 25 feet of chain are out?