A colony of bees lives in an ever-growing beehive that is in the shape of a sphere. The volume of any sphere is given by V = /0 π r3, where r is the radius of the sphere. Each bee in the colony needs 5 cm3 of space to live in. A researcher notices that each week, 20 new bees are added to the hive. a) With 20 new bees added per week, how much volume (space) must be added per week? HINT: this is an easy question. b) When the radius of the colony reaches 3 cm, at what rate is the radius changi

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