Air is being pumped into a balloon that is a perfect sphere. The air is being pumped in at a rate of 4 cm33/min. Determine the rate at which the radius of the balloon is increasing when the diameter of the balloon is 16 cm.

A 10-meter ladder is leaning against the wall of a building, and the base of the ladder is sliding away from the building at a rate of 4 meters per second. How fast is the top of the ladder sliding down the wall when the base of the ladder is 4 meters from the wall?

A street light is mounted at the top of a 12 ft pole. A man 5 ft tall walks away from the pole at a rate of 4 ft per second. How fast is the tip of his shadow moving when he is 48 ft from the pole?

A cylindrical tank with radius 8 meters is being filled with water at a rate of 3 cubic meters per minute. How fast is the height of the water increasing?

The length of a rectangle is increasing at a rate of 6 centimeters per second and its width is increasing at a rate of 3 centimeters per second. When the length is 24 cm and the width is 16 centimeters, how fast is the area of the rectangle increasing?

Two resistors are connected in parallel. If R1R1 and R2R2 represent the resistance in Ohms () of each resistor, then the total resistance RR is given by1R=1R1+1R2.1R=1R1+1R2.Suppose that in fact, these two resistors are actually potentiometers (resistors with variable resistance) and R1R1 is increasing at a rate of 0.50.5/min and R2R2 is increasing at a rate of 0.80.8/min. At what rate is RR changing when R1=104R1=104 and R2=120R2=120?