5) Suppose a liquid is to be cleared of sediment by pouring it through a cone-shaped filter. Assume the height of the cone is 16 in and the radius at the base of the cone is 4 in. If the liquid is flowing out of the cone at a constant rate of 2 cubic inches per min, how fast is the depth of the liquid decreasing when the level is 8 in deep?

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
Question
5) Suppose a liquid is to be cleared of sediment by
pouring it through a cone-shaped filter. Assume the
height of the cone is 16 in and the radius at the base of
the cone is 4 in. If the liquid is flowing out of the
cone at a constant rate of 2 cubic inches per min, how
fast is the depth of the liquid decreasing when the
level is 8 in deep?
Transcribed Image Text:5) Suppose a liquid is to be cleared of sediment by pouring it through a cone-shaped filter. Assume the height of the cone is 16 in and the radius at the base of the cone is 4 in. If the liquid is flowing out of the cone at a constant rate of 2 cubic inches per min, how fast is the depth of the liquid decreasing when the level is 8 in deep?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

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,
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