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The volume of a cone, V , varies jointly with its height, h , and the square of its
radius, r . If k is the constant of proportionality, which of the following equations
represents the correct relationship between volume, radius, and height?

Answer :

An equation is formed of two equal expressions. The equation that represents the correct relationship between volume, radius, and height is V=khr².

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given the volume of a cone, V varies jointly with its height, h, and the square of its radius, r. Therefore, the relationship can be written as,

V ∝ h(r²)

Also, k is the constant of proportionality, therefore, the equation now can be written as,

V = k×h×r²

Hence, the equation that represents the correct relationship between volume, radius, and height is V=khr².

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