slow the questions below

Section 2.7: Problem 5 (1 point) The radius of a spherical balloon is increasing at a rate of 4 centimeters per minute. How fast is the volume changing, in cubic centimeters per minute, when the radius is 14 centimeters? Note: The volume of a sphere is given by V = (4/3)mr3 Rate of change of volume, in cubic centimeters per minute, = Section 2.7: Problem 6 (1 point) Helium is pumped into a spherical balloon at a rate of 3 cubic feet per second. How fast is the radius increasing after 2 minutes? Note: The volume of a sphere is given by V = (4/3)mr3 Rate of change of radius (in feet per second) = Section 2.7: Problem 7 (1 point) A street light is at the top of a 12-ft-tall pole. A 6-ft tall woman walks away from the pole with a speed of 8 ft/sec along a straight path (see figure). How fast is the tip of her shadow moving, in ft/sec, when she is 35 ft from the base of the pole? Section 2.7: Problem 8 (1 point) Water is leaking out of an inverted conical tank at a rate of 6300.0 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 11.0 meters and the diameter at the top is 4.5 meters. If the water level is rising at a rate of 23.0 centimeters per minute when the height of the water is 4.5 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute. Note: Let "R" be the unknown rate at which water is being pumped in. Then you know that if I/ is volume of water, = R - 6300.0. Use geometry (similar triangles?) to find the relationship between the height of the water and the volume of the water at any given time. Recall that the volume of a cone with base radius r and height h is given by + ar h