A cone stands with its flat base on the xy-plane and its vertex on the positive z-axis. The radius of the base is 2 and the height is 12 (a) Find a formula for this non-standard cone in terms of x and y. Hint: You are looking for something of the form: z = a + bVx2+72 (b) The density (measured in kg per cubic meter) at any point of the cone is proportional to its distance from the xy-plane. Set up the integral needed to find total mass. Use k as the proportionality constant and assume that x, y, and z are measured in meters. dz dr de A cone stands with its flat base on the xy-plane and its vertex on the positive z-axis. The radius of the base is 2 and the height is 12 (a) Find a formula for this non-standard cone in terms of x and y. Hint: You are looking for something of the form: z = a + bVx2+72 (b) The density (measured in kg per cubic meter) at any point of the cone is proportional to its distance from the xy-plane. Set up the integral needed to find total mass. Use k as the proportionality constant and assume that x, y, and z are measured in meters. dz dr de