a.
To find: height of the cone.
a.
Answer to Problem 23WE
Cans needed to paint the ceiling is 6.
Explanation of Solution
Given information:
A
Calculation:
If the solid metal ball is melted down into cone then the volume of metal ball is same as volume of the cone.
The Volume sphere is given by
And, volume of cone is given by
Therefore,
Hence,
Height of the cone will be 32 cm.
a.
To find: height of the cone.
a.
Answer to Problem 23WE
The lateral surface area of cone is about 3% more than the area of the sphere is shown below.
Explanation of Solution
Given information:
A solid metal ball with radius 8 cm is melted down and recast as a solid cone with the same radius.
Calculation:
Lateral surface area of the cone is given by
Also, surface area of the sphere is given by
Here, radius of the cone is
Therefore, area of the cone is
Also, area the sphere is
Now,
So, the lateral surface area of the cone more than the area of the sphere by
Hence proved.
Chapter 12 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
Additional Math Textbook Solutions
A Graphical Approach to College Algebra (6th Edition)
Calculus and Its Applications (11th Edition)
Elementary Statistics: Picturing the World (7th Edition)
Elementary Statistics: Picturing the World (6th Edition)
Precalculus (10th Edition)
Intermediate Algebra for College Students (7th 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