Concept explainers
To calculate: Constant of variation and general formula for the volume of cone.
Answer to Problem 8P
The constant of variation is
A general formula for the volume of cone is:
Explanation of Solution
Given information:
The following variation:
The volume of a cone varies jointly as the height and the square of the radius of the base.
When height is
Calculation:
Let V be the volume of the cone, h be the height and r be the radius of the base. Then, V varies jointly as h and
where k is a constant.
Substituting
Therefore, an equation of the given variation is
Chapter 8 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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