4. (Weekly problem #6 is now due. Here it is:) A punch bowl is shaped like a hemisphere of radius 40 cm. The bowl is lled with fruit punch to a height of 20 cm. (a) What is the volume of the bowl? (You don't need to use calculus1 just the formula. for volume of a sphere.) (b) Draw a picture of the bowl and the fruit punch level. Based on your picture1 do you think the volume of fruit punch is more or less than half of the volume of the bowl? (c) Find the amount of fruit punch in the bowl. Does this conrm your guess from (b)? Note: (a) and (b) give you a way to check whether your answer to (c) is at least somewhat reasonable. Although we usually will not explicitly ask you to do such a check, it's always a good idea (especially on exams!) to think of some ways to check whether your answer is reasonable