Concept explainers
a.
To determine the scale factor of the cylinders.
a.
Answer to Problem 15PPS
Explanation of Solution
Given:
A small cylindrical can of tuna has a radius of 4 centimeters and a height of 3.8 centimeters.
A larger and similar can of tuna has a radius of
Calculation:
A small cylindrical can of tuna has a radius of 4 centimeters and a larger and similar can of tuna has a radius of
From the information, the scale factor of their radii is,
Multiplying both the part of the ratio with
Now dividing the common part,
Now finding the height of the larger can, considering the height as
The ratio of radii is equal to ratio of the height,
Cross multiplying,
Conclusion:
Therefore, the scale factor of the cylinders is
b.
To determine the volume of the larger can.
b.
Answer to Problem 15PPS
Explanation of Solution
Given:
A small cylindrical can of tuna has a radius of 4 centimeters and a height of 3.8 centimeters.
A larger and similar can of tuna has a radius of
Formula used:
Volume of the cylinder
Calculation:
From the previous part the value of height is
Rounding off to nearest tenth,
Conclusion:
Therefore, the volume of the larger can is
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- 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