A spherical iron ball 8 in. in diameter is coated with a layer of ice of uniform thickness. If the ice melts at a rate of 15 in. / min, how fast is the thickness of the ice decreasing when it is 3 in. thick? How fast is the outer surface area of ice decreasing?

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter8: Areas Of Polygons And Circles
Section8.4: Cicumference And Area Of A Cicle
Problem 45E: The diameter of a carousel merry-go-round is 30ft. At full speed, it makes a complete revolution in...
icon
Related questions
Question
A spherical iron ball 8 in. in diameter is coated with a layer of ice of uniform thickness. If the ice melts at a rate of
15 in.° / min, how fast is the thickness of the ice decreasing when it is 3 in. thick? How fast is the outer surface area of ice
decreasing?
Transcribed Image Text:A spherical iron ball 8 in. in diameter is coated with a layer of ice of uniform thickness. If the ice melts at a rate of 15 in.° / min, how fast is the thickness of the ice decreasing when it is 3 in. thick? How fast is the outer surface area of ice decreasing?
The thickness of the ice is decreasing at a rate of in. /min when the ice is 3 in. thick.
(Type an exact answer, using n as needed.)
Transcribed Image Text:The thickness of the ice is decreasing at a rate of in. /min when the ice is 3 in. thick. (Type an exact answer, using n as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 7 images

Blurred answer
Recommended textbooks for you
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
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