113 (6) Suppose we attach our 200 lb bucket of rocks to a 50 ft chain which weighs 1.8 lbs/t and is hanging from the top of a cliff. How much work is required to lift the bucket to the top of the cliff? (7) Suppose we want to lift a 200 lb bucket of water attached to a 50 ft rope hanging from the top of a cliff. To make things easy, let's assume the rope has no weight. However, the water leaks out at a rate of 3 lbs/sec (and we lift at a rate of 4 ft/sec). How much work is required to lift the bucket to the top of the cliff? 18) A tank in the shape of a right circular cone of radius 5 m and a height of 10 m. We want to fill the tank up with water to the 8 m mark using a hole at the bottom of the tank. How much work is done in filling the tank up with water?