A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles with altitudes of 3 feet. 3 ft 2 ft3 min 12 ft- 3 ft (a) If water is being pumped into the trough at 2 cubic feet per minute, how fast is the water level rising when his 1.3 feet deep? ft/min (b) If the water is rising at a rate of 3/8 inch per minute when h = 2.3, determine the rate at which water is being pumped into the trough. ft³/min

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter20: Ratio And Propor Tion
Section: Chapter Questions
Problem 20A: In Figure 208, gear A is turning at 120 revolutions per minute and gear B is turning at 3.6...
icon
Related questions
Question
A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles with altitudes of 3 feet.
3 ft
12 ft
2 ft3
3 ft
min
hft
(a) If water is being pumped into the trough at 2 cubic feet per minute, how fast is the water level rising when h is
1.3 feet deep?
ft/min
(b) If the water is rising at a rate of 3/8 inch per minute when h = 2.3, determine the rate at which water is being
pumped into the trough.
ft³/min
Transcribed Image Text:A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isosceles triangles with altitudes of 3 feet. 3 ft 12 ft 2 ft3 3 ft min hft (a) If water is being pumped into the trough at 2 cubic feet per minute, how fast is the water level rising when h is 1.3 feet deep? ft/min (b) If the water is rising at a rate of 3/8 inch per minute when h = 2.3, determine the rate at which water is being pumped into the trough. ft³/min
Expert Solution
steps

Step by step

Solved in 5 steps with 15 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
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
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College