
Concept explainers
a.
To find the height of the larger cylinder.
a.

Answer to Problem 26PPS
Explanation of Solution
Given:
Two similar cylinders.
The height of the cylinders are in the ratio
Lateral surface area of the larger cylinder is
Diameter of the smaller cylinder is
Concept used:
Two
Formula used:
Lateral surface area of a cylinder
Calculation:
Since the two cylinders are similar, and the heights are in the ratio
So, the diameter of the larger cylinder is
Now, using this radius and the lateral surface area to find the height of the larger cylinder.
Lateral surface area of the larger cylinder
Conclusion:
Therefore, the height of the larger cylinder is
b.
To sketch and label the two cylinders.
b.

Explanation of Solution
Given:
Two similar cylinders.
The height of the cylinders are in the ratio
Lateral surface area of the larger cylinder is
Diameter of the smaller cylinder is
Diameter of large cylinder is
Height of large cylinder is
Height of small cylinder is
Concept used:
Two solids are similar if they are the same type of solid and their corresponding radii and heights are proportional.
Calculation:
c.
To find the ratio of volumes of both cylinders.
c.

Answer to Problem 26PPS
Explanation of Solution
Given:
Two similar cylinders.
The height of the cylinders are in the ratio
Lateral surface area of the larger cylinder is
Diameter of the smaller cylinder is
Formula used:
Volume of a cylinder
Calculation:
First find the height of the smaller cylinder.
Since the two cylinders are similar, and the heights are in the ratio
Simplify the ratio of the volume of the larger cylinder to the volume of the smaller cylinder.
Conclusion:
Therefore, the volume of the larger cylinder is
Chapter 12 Solutions
Geometry, Student Edition
Additional Math Textbook Solutions
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
University Calculus: Early Transcendentals (4th Edition)
Algebra and Trigonometry (6th Edition)
Elementary Statistics (13th Edition)
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