A colony of bees lives in an ever-growing beehive that is in the shape of a sphere. Use The volume of a sphere. Each bee in the colony needs 5 cm^2 of space to live in. A researcher notices that each week, 20 new bees are added to the hive. With 20 new bees added per week, how much volume (space) must be added per week and when the radius of the colony reaches 3 cm, at what rate is the radius changing?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter64: Volumes Of Spheres And Composite Solid Figures
Section: Chapter Questions
Problem 23A: A seamless brass tube and brass flange assembly is shown. The tube is pressed fit into the full...
icon
Related questions
Question
100%
A colony of bees lives in an ever-growing beehive that is in the shape of a sphere. Use The volume of a sphere. Each bee in the colony needs 5 cm^2 of space to live in. A researcher notices that each week, 20 new bees are added to the hive. With 20 new bees added per week, how much volume (space) must be added per week and when the radius of the colony reaches 3 cm, at what rate is the radius changing?
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL