Concept explainers
To find: The ratio of the volumes and lateral areas of a cylinder and a cone.
Answer to Problem 14CT
The volumes and lateral areas of a cylinder and a cone are
Explanation of Solution
Given information: Radius and height of a cone and a cylinder are
Calculation:
The formula for volume of cone is:
The formula for volume of cylinder is:
The ratio of the volumes of a cone and a cylinder is,
The formula for the lateral area of a cone is:
The formula for the lateral area of a cylinder is:
The ratio of the lateral areas of a cone and a cylinder is,
Substitute
Therefore, the volumes and lateral areas of a cylinder and a cone are
Chapter 12 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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