The volume, V cm³, of a sphere is given by 4 V = πr³ where r is its radius. 3 It is given that the radius of a sphere is increasing at the constant rate of 2.5 cm Find the rate at which the volume of the sphere is increasing when its radius is 8cm. Give your answer as a whole number. π cm³/s ст

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter26: Customary (english) Units Of Measure
Section: Chapter Questions
Problem 5A: The volume V of a cone with height h and diameter d is given by V=0.2618d2h . What is the volume of...
icon
Related questions
Question
The volume, V cm³, of a sphere is given by
4
V
=
πr³ where r is its radius.
3
It is given that the radius of a sphere is increasing at the constant rate of 2.5 cm
Find the rate at which the volume of the sphere is increasing when its radius is 8cm.
Give your answer as a whole number.
π cm³/s
ст
Transcribed Image Text:The volume, V cm³, of a sphere is given by 4 V = πr³ where r is its radius. 3 It is given that the radius of a sphere is increasing at the constant rate of 2.5 cm Find the rate at which the volume of the sphere is increasing when its radius is 8cm. Give your answer as a whole number. π cm³/s ст
Expert Solution
steps

Step by step

Solved in 1 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,
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
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
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
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,