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e-lub [12.9K]
3 years ago
6

Solve the problem as directed.

Mathematics
1 answer:
Alex17521 [72]3 years ago
4 0

The algebraic equation for the given statement is v = cd^3

<h3><u>Solution:</u></h3>

Given that The volume (v) of a sphere varies directly as the cube of its diameter (d)

To find: statement in algebraic language using an equation with the variables c, v, and d

Let "v" be the volume of sphere

Let "d" be the diameter of sphere

From given information,

volume of sphere varies directly as the cube of its diameter

\text{ volume of sphere } \alpha \text{ cube of its diameter}

\text{ v} \alpha d^3

v = cd^3

Where "c" is the constant of proportionality

Then the algebraic equation for the given statement will be :-

v=cd^3 , where c is the proportionality constant.

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