MAT 220/221 Calculus 1 Name: Quest #4: Modules 10-11 Score /40 Directions: Show ALL work on the quest. Your work shown should justify your answers and convince me of your thinking. No work shown may result in a loss of points. Box your final answers. 1. Related Rates: Complete 1 of the following 2 problems. You should include a nicely labeled diagram of the situation (and it should connect to the work you show) and clearly show all your steps for solving. Be sure to write your final answer in a complete sentence (with units!). Circle the letter of the problem you choose to complete (this will be the one I grade!). No extra credit will be given if you complete both problems. [20 pts] Suppose Nora has a spherical snowball with a 70 cm radius and it is melting such that the radius shrinks at a constant rate of 2 cm per minute. How fast is the volume of the snowball shrinking? b. In a pretend world, Casey is flying a kite at a height of 120 meters. If the kite moves horizontally away from Casey at the rate of 15 meters per second, how fast is the string being released when the kite is 250 meters from Casey