Related Rates

The radius r of a sphere is increasing at a rate of 2 inches per minute.  Find the rate of change of the volume when r=6 inches.

A conical tank is 10 feet across the top and 12 feet deep.  If water is flowing into the tank at a rate of 10 cubic feet per minute, find the rate of change of the depth of the water when the water if 8 feet deep.

A construction worker pulls a five meter plank up the side of a building under construction by means of a rope tied to one end of the plank.  Assume the opposite end of the plank follows a path perpendicular to the wall of the building and the worker pulls the rope at a rate of .15 meters per second.  How fast is the end of the plank sliding along the ground when when it is 2.5 meters from the wall of the building?

• 4.33 m /s

• -0.15 m/s

• 0.26 m/s

• -0.26 m/s

• x = 0 only

• x = 0 and x = - 4

• x = - 4 only

• x = - 4, x = 0, and x = 4

What is Mr. Huebner's favorite Sci-Fi show?