Homework Help is Here – Start Your Trial Now!
Math
Calculus
The radius of a right circular cone is increasing at a rate of 1.9 in/s while its height is decreasing at a rate of 2.4 in/s. At what rate is the volume of the cone changing when the radius is 159 in. and the height is 112 in.? Step 1 The volume of a cone with base radius r and height h is given by V = 1½πr²h. To find the rate of change of the volume, we need to find d✓. By the Chain Rule, we know that dt av av dv dr dh + dt a dt a dt

The radius of a right circular cone is increasing at a rate of 1.9 in/s while its height is decreasing at a rate of 2.4 in/s. At what rate is the volume of the cone changing when the radius is 159 in. and the height is 112 in.? Step 1 The volume of a cone with base radius r and height h is given by V = 1½πr²h. To find the rate of change of the volume, we need to find d✓. By the Chain Rule, we know that dt av av dv dr dh + dt a dt a dt

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 8A
See similar textbooks
icon
Related questions
Question
The radius of a right circular cone is increasing at a rate of 1.9 in/s while its height is decreasing at a rate of 2.4 in/s. At what rate is the volume of the cone changing when the radius is 159 in. and the height is 112 in.? Step 1 The volume of a cone with base radius r and height h is given by V = 1½πr²h. To find the rate of change of the volume, we need to find d✓. By the Chain Rule, we know that dt av av dv dr dh + dt a dt a dt
Transcribed Image Text:The radius of a right circular cone is increasing at a rate of 1.9 in/s while its height is decreasing at a rate of 2.4 in/s. At what rate is the volume of the cone changing when the radius is 159 in. and the height is 112 in.? Step 1 The volume of a cone with base radius r and height h is given by V = 1½πr²h. To find the rate of change of the volume, we need to find d✓. By the Chain Rule, we know that dt av av dv dr dh + dt a dt a dt
Expert Solution
steps

Step by step

Solved in 2 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
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,
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
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
SEE MORE TEXTBOOKS