Ok, so I got this assignment for Calculus class, and I'm having a hell of a time figuring it out, so is my tutor. Here are the 2 questions: 1.) Grain is emptying from the bottom of a funnel shaped hopper at 1.2m^3/min. If the diameter of the top of the hopper is 5m and the sides make an angle of 30(degrees) with the vertical. Determine the rate at which the level of grain in the hopper is changing, when it is half full. 2.) A cyclist travelling 20km/h rides east for one half hour, then north for one hour. How fast is the distance from the cyclist to the starting point increasing when the cyclist has been riding for 1.5h at 20km/h? Any help would be greatly appreciated! I really need to get these questions right, I REALLY APPRECIATE THIS! P.S. I would have asked my teacher for help, but since it's an assignment, were not allowed to ask for help from her, and my tutor didn't help much, I would really really appreciate if someobody could help me. Thank you.