Question

Let V represent the volume of a sphere with radius r mm. Write an equation for V (in mm³) in terms of r. Find the radius of a sphere (in mm) when its diameter is 100 mm. The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing (in mm³/s) when the diameter is 100 mm? (Round your answer to two decimal places.)

Fig: 1

Fig: 2

Fig: 3