A home owner has decided to fill in his inground pool because it is no longer are used assume the pool is rectangular and measures 20 feet wide by 40 feet long and 5.5 feet deep throughout each cubic yards of fill dirt cost $12 how much will it cost to fill in the pool assume that he must purchase for cubic yards only even if that means by more than he needs

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 13A: A vessel is in the shape of a right circular cone. This vessel contains liquid to a depth of 12.8...
icon
Related questions
icon
Concept explainers
Topic Video
Question


A home owner has decided to fill in his inground pool because it is no longer are used assume the pool is rectangular and measures 20 feet wide by 40 feet long and 5.5 feet deep throughout each cubic yards of fill dirt cost $12 how much will it cost to fill in the pool assume that he must purchase for cubic yards only even if that means by more than he needs

Expert Solution
Step 1

Dimensions of the pool is 20 feet  wide, 40 feet long and 5.5 feet deep throughout.

We have to find how much it will cost o fill the pool, when each cubic yard of dirt costs $12.

Volume of the pool is given by

V=20×40×5.5=4400 cubic feet

Hence, V=4400 cubic feet

Now, convert cubic feet to cubic yard, which is given below.

1 cubic feet=0.037037 cubic yard4400 cubic feet=0.037037×4400 cubic yard4400 cubic feet=162.96 cubic yard

trending now

Trending now

This is a popular solution!

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, statistics 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,
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
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
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
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage