To determine the volume of the larger tent.
Answer to Problem 25PPS
Explanation of Solution
Given:
Two tents are in the shape of hemispheres, with circular floors.
The ratio of their floor areas is 9:12.25.
The diameter of the smaller tent is 6 feet.
Formula used:
Volume of a hemisphere
Calculation:
Two tents are in the shape of hemispheres, with circular floors.
The ratio of their floor areas is 9:12.25.
The diameter of the smaller tent is 6 feet.
The scale factor of surface area of both the tent is,
Scale factor of surface area of both the tent is 3:3.5.
Now, the radius of larger tent,
As, scale factor is same for all.
Now, find the volume of hemisphere.
Volume of a hemisphere
Conclusion:
Therefore, the volume of the larger tent is
Chapter 12 Solutions
Geometry, Student Edition
Additional Math Textbook Solutions
Precalculus (10th Edition)
Calculus Volume 2
College Algebra
Elementary Statistics: Picturing the World (7th Edition)
Finite Mathematics & Its Applications (12th Edition)
University Calculus: Early Transcendentals (3rd Edition)
- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning