A sand storage tank used by the highway department for winter storms is leaking. As the sand leaks out, it forms a conical pile. The radius of the base of the pile increases at the rate of 0.75 in. per minute. The height of the pile is always twice the radius of the base. Find the rate at which the volume of the pile increasing at the instant the radius of the base is 6 in. Leave your answer in terms of z.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 55AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
icon
Related questions
Question
A sand storage tank used by the highway department for winter storms is
leaking. As the sand leaks out, it forms a conical pile. The radius of the
base of the pile increases at the rate of 0.75 in. per minute. The height of
the pile is always twice the radius of the base. Find the rate at which the
volume of the pile increasing at the instant the radius of the base is 6 in.
Leave your answer in terms of z.
ment
I pile
er mi
ind th
adius
threads
Page 1 of 1
42 words
困Focus
130%
三
Uranium
Sociology ANutrition 202 Aonum
Thar um
Potactiniim
Neptinum
Pluton uim
Amenaim
OCT
18
Transcribed Image Text:A sand storage tank used by the highway department for winter storms is leaking. As the sand leaks out, it forms a conical pile. The radius of the base of the pile increases at the rate of 0.75 in. per minute. The height of the pile is always twice the radius of the base. Find the rate at which the volume of the pile increasing at the instant the radius of the base is 6 in. Leave your answer in terms of z. ment I pile er mi ind th adius threads Page 1 of 1 42 words 困Focus 130% 三 Uranium Sociology ANutrition 202 Aonum Thar um Potactiniim Neptinum Pluton uim Amenaim OCT 18
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Numerical Differentiation
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
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
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning