13 A square glass tank with side length 10m is half lled with water. (15 marks) water as in the picture below. A solid metal cylinder of radius 2m and height 12m is being pushed vertically into the centre of the tank I 'r L At any time, the speed at which the cylinder is being lowered into the the tank (measured in meters per minute) is the same as the distance between the base of the cylinder and the bottom of the tank (measured in meters). Water Level: The water level is the height of the water from the bottom of the cube. Hint: The volume V of a cylinder with any base is given by V = A5 - h, where Ag, is the area of the base and h the height of the cylinder. (a) (3 marks) What is the volume of water Vw in the tank? What is the volume Vb of water in the "5 section" of the tank (below the bottom of the cylinder)