Let V represent the volume of a sphere with radius rmm. Write an equation for V (in mm) in terms of r. Vir) = mm3 Find the radius of a sphere (in mm) when its diameter is 100 mm. mm The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing (in mm 3/e) when the diameter is 100 mm? (Round your answer to two decimal places.)