A cylindrical tank with radius 3 m is being filled with water at a rate of 4 m/min. How fast is the height of the water increasing? m/minThe radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing when the diameter is 60 mm? mms/sAt noon, ship A is 130 km west of ship B. Ship A is sailing east at 30 km/h and ship B is sailing north at 25 km/h. How fast is the distance between the ships changing at 4:00 PM? km/hGravel is being dumped from a conveyor belt at a rate of 25 fts/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 13 ft high? (Round your answer to two decimal places.) ft/min -HTutorial Exercise A trough is 10 ft long and its ends have the shape of isosceles triangles that are 3 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 10 fts/min, how fast is the water level rising when the water is 5 inches deep? Part 1 of 5 Let h be the water's height and b be the distance across the top of the water. Using the diagram below, find the relation between b and h. w h