1. [6 points] . The volume of a right circular cone is V = Earth, where r is the radius of the base and h is the height. (a) Find the rate of change of the volume with respect to the height if the radius is constant. (b) Find the rate of change of the volume with respect to the radius if the height is constant. 2. [6 points] A paper cup has the shape of a cone with height 10 cm and radius 3 cm (at the top). If water is poured into the cup at a rate of 2 cm'/s, how fast is the water level rising when the water is 5 cm deep