The volume of water in a hemispherical bowl of radius 30cm is given by V =36x2 – x³ ) where x - X cm is the depth of the water. If the water is poured in at a constant rate of 10cm/s, at what rate is the level rising when the depth is 8 cm?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
Problem 14P
icon
Related questions
Question
Related Rates Q4
QUESTION 4
1
The volume of water in a hemispherical bowl of radius 30cm is given by V =
(36x? – x³ ) where x
cm is the depth of the water. If the water is poured in at a constant rate of 10cm3/s, at what rate is the
level rising when the depth is 8 cm?
Transcribed Image Text:QUESTION 4 1 The volume of water in a hemispherical bowl of radius 30cm is given by V = (36x? – x³ ) where x cm is the depth of the water. If the water is poured in at a constant rate of 10cm3/s, at what rate is the level rising when the depth is 8 cm?
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
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
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
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,
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
PREALGEBRA
PREALGEBRA
Algebra
ISBN:
9781938168994
Author:
OpenStax
Publisher:
OpenStax
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning