man is filling up an inverted pyramidal tank with water at a constant rate. The tank has the following dimensions

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids
Section: Chapter Questions
Problem 79A
icon
Related questions
Topic Video
Question
  • A poster must be made with margins: 2.5 cm (top), 1.5 cm (bottom), 1.0 cm (both on left and right sides). Find the dimensions of the poster that would maximize the area that may be printed, assuming that the total area of the poster is 288.00 cm2.
  • A man is filling up an inverted pyramidal tank with water at a constant rate. The tank has the following dimensions: 24 m deep and has a square top with a side of 6 m. Suppose that the water leaks at a rate of 0.5 m3/minute, while the water level rises at a rate of 2.0 m/minute. Determine how fast the water is poured if the water is 6.00 m deep. 
    Use the formula:
    V=1/3*(s2h)

s is the side length of square base, h is the pyramid height.

Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Knowledge Booster
Optimization
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.
Recommended textbooks for you
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
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,
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