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 dv By the Chain Rule, we know that dt av av dv dt a r dr + dt dh მ h dt h Step 2 dr dh We are given that 1.9 and -2.4. dt dt av Also, Step 3 ar 를 trh and ah =|༤ av Πρ 3 3 When r = 159 and h 112, then av av and ər ah Submit Skip (you cannot come back)

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 dv By the Chain Rule, we know that dt av av dv dt a r dr + dt dh მ h dt h Step 2 dr dh We are given that 1.9 and -2.4. dt dt av Also, Step 3 ar 를 trh and ah =|༤ av Πρ 3 3 When r = 159 and h 112, then av av and ər ah Submit Skip (you cannot come back)

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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 dv By the Chain Rule, we know that dt av av dv dt a r dr + dt dh მ h dt h Step 2 dr dh We are given that 1.9 and -2.4. dt dt av Also, Step 3 ar 를 trh and ah =|༤ av Πρ 3 3 When r = 159 and h 112, then av av and ər ah Submit Skip (you cannot come back)
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 dv By the Chain Rule, we know that dt av av dv dt a r dr + dt dh მ h dt h Step 2 dr dh We are given that 1.9 and -2.4. dt dt av Also, Step 3 ar 를 trh and ah =|༤ av Πρ 3 3 When r = 159 and h 112, then av av and ər ah Submit Skip (you cannot come back)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
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