If 4-inch (100 mm) Schedule 40 sprinkler piping has an actual inside diameter of 4.026 inches (102.3 mm), how many gallons (liters) of water could be contained in 135 feet (40 meters) of this pipe? How much would the water in this pipe weigh? US unites ( answer by pounds )

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.5: Descriptive Modeling And Accuracy
Problem 3CGP
icon
Related questions
icon
Concept explainers
Topic Video
Question

If 4-inch (100 mm) Schedule 40 sprinkler piping has an actual inside diameter of 4.026 inches (102.3 mm), how many gallons (liters) of water could be contained in 135 feet (40 meters) of this pipe? How much would the water in this pipe weigh?

US unites ( answer by pounds )

Expert Solution
Step 1

step:-1

Volume of pipe = π r2h

Here, r denotes inside radius and h denotes height.

Given that inside radius of pipe = 4.026 inches = 0.3355 feet

height pf pipe = 135 feet

volume of pipe = π r2h=π×0.335522×135=11.9346 cubic feet

Note:- radius = diameter2

volume of pipe = 11.9346 cubic feet

step:-2

1 cubic foot =7.48 gallon  of water  then

47.7385 cubic feet =11.9346 × 7.48=89.2710  gallon of water

1 gallon of water = 8.34 lbs (pound)

89.2710 gallon = 89.2710 × 8.34 =744.5201 lbs

 

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University