#1. Sand falls from a conveyor belt at a rate of 5.3 m3/min. The height of the pile is always one-fourth of the base diameter. How fast is the height of the pile changing when the pile is 0.82 m high?
#2. A square's side increases at a rate of 0.70 cm/s. At what rate is the area of the square changing when the length of the side is equal to 6.4 cm?
#3. A 1.4 m ladder is sliding down a wall at a rate of 8.0 m/s. How fast is the base of the ladder moving away from the wall when the base of the ladder is 1.1 m away from the wall?
#4. Oil from a car drips on the ground and forms a circle of ever-increasing area. The area of the circle changes at a rate of 2.9 cm2/s. At what rate is the radius of the puddle changing when the radius is equal to 5.8 cm?
#5. Sand falls from a conveyor belt at a rate of 5.6 m3/min. The height of the pile is always one-fourth of the base diameter. How fast is the radius of the pile changing when the pile is 1.0 m high?
#6. Oil from a car drips on the ground and forms a circle of ever-increasing radius. The radius of the circle changes at a rate of 4.9 cm/s. At what rate is the area of the puddle changing when the radius is equal to 5.0 cm?