Homework Help is Here – Start Your Trial Now!
Math
Calculus
As gravel is being poured into a conical pile, its volume V changes with time. As a result, the height hand radius also change with time. Knowing that volume of the conical pile is V = ²³h the relationship with respect to time between volume and the changes in the radius and height is 0 = dV dt ○ = dV dt ○ = dV dt dr (2+2) 2rh dr dh (2²) 2r dh (2+²) dr (2².1+2rh) dh ○ = 1/27 dV dt

As gravel is being poured into a conical pile, its volume V changes with time. As a result, the height hand radius also change with time. Knowing that volume of the conical pile is V = ²³h the relationship with respect to time between volume and the changes in the radius and height is 0 = dV dt ○ = dV dt ○ = dV dt dr (2+2) 2rh dr dh (2²) 2r dh (2+²) dr (2².1+2rh) dh ○ = 1/27 dV dt

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
See similar textbooks
icon
Related questions
Question
As gravel is being poured into a conical pile, its volume V changes with time. As a result, the height ʼn and radius r also change with time. Knowing that volume of the conical pile is V = ar²h 1 the relationship with respect to time between volume and the changes in the radius and height is dr 0 = = x (2/₁² + ₁²2 ) dV dt 2rh 11 12 dh dt dt 0 0 dV dr dh # = 3x (2²²) 2r dt dt dt dV dt dV = = dt 3 dh x ( 2m +²2) (2 2rh dt dr x ( ₁2²-1 + 2 + 1 ) dh
Transcribed Image Text:As gravel is being poured into a conical pile, its volume V changes with time. As a result, the height ʼn and radius r also change with time. Knowing that volume of the conical pile is V = ar²h 1 the relationship with respect to time between volume and the changes in the radius and height is dr 0 = = x (2/₁² + ₁²2 ) dV dt 2rh 11 12 dh dt dt 0 0 dV dr dh # = 3x (2²²) 2r dt dt dt dV dt dV = = dt 3 dh x ( 2m +²2) (2 2rh dt dr x ( ₁2²-1 + 2 + 1 ) dh
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
SEE MORE TEXTBOOKS